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Finding the Fourth Proportional to 10,073.57, 13,901.83 and 5,597.91

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Solution

The fourth proportional to 10,073.57, 13,901.83 and 5,597.91 is: 7,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.57 : 13,901.83 = 5,597.91 : x
  2. Step 2: Convert to fraction form
    10,073.57/13,901.83 = 5,597.91/x
  3. Step 3: Cross multiply
    10,073.57x = 13,901.83 × 5,597.91
  4. Step 4: Simplify right side
    10,073.57x = 77,821,179.18
  5. Step 5: Solve for x
    x = 77,821,179.18/10,073.57
  6. Step 6: Final answer
    x = 7,725.29

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