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Finding the Fourth Proportional to 7,823,497.84, 10,797,073.34 and 4,339,959.74

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Solution

The fourth proportional to 7,823,497.84, 10,797,073.34 and 4,339,959.74 is: 5,989,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,497.84 : 10,797,073.34 = 4,339,959.74 : x
  2. Step 2: Convert to fraction form
    7,823,497.84/10,797,073.34 = 4,339,959.74/x
  3. Step 3: Cross multiply
    7,823,497.84x = 10,797,073.34 × 4,339,959.74
  4. Step 4: Simplify right side
    7,823,497.84x = 46,858,863,643,269.91
  5. Step 5: Solve for x
    x = 46,858,863,643,269.91/7,823,497.84
  6. Step 6: Final answer
    x = 5,989,502.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.