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Finding the Fourth Proportional to 7,048.98, 9,725.38 and 4,064.41

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Solution

The fourth proportional to 7,048.98, 9,725.38 and 4,064.41 is: 5,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.98 : 9,725.38 = 4,064.41 : x
  2. Step 2: Convert to fraction form
    7,048.98/9,725.38 = 4,064.41/x
  3. Step 3: Cross multiply
    7,048.98x = 9,725.38 × 4,064.41
  4. Step 4: Simplify right side
    7,048.98x = 39,527,862.78
  5. Step 5: Solve for x
    x = 39,527,862.78/7,048.98
  6. Step 6: Final answer
    x = 5,607.60

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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.