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Finding the Fourth Proportional to 10,366.84, 14,306.29 and 5,890.83

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Solution

The fourth proportional to 10,366.84, 14,306.29 and 5,890.83 is: 8,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.84 : 14,306.29 = 5,890.83 : x
  2. Step 2: Convert to fraction form
    10,366.84/14,306.29 = 5,890.83/x
  3. Step 3: Cross multiply
    10,366.84x = 14,306.29 × 5,890.83
  4. Step 4: Simplify right side
    10,366.84x = 84,275,943.36
  5. Step 5: Solve for x
    x = 84,275,943.36/10,366.84
  6. Step 6: Final answer
    x = 8,129.38

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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.