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Finding the Fourth Proportional to 10,073.59, 13,901.80 and 5,597.53

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Solution

The fourth proportional to 10,073.59, 13,901.80 and 5,597.53 is: 7,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.59 : 13,901.80 = 5,597.53 : x
  2. Step 2: Convert to fraction form
    10,073.59/13,901.80 = 5,597.53/x
  3. Step 3: Cross multiply
    10,073.59x = 13,901.80 × 5,597.53
  4. Step 4: Simplify right side
    10,073.59x = 77,815,693.81
  5. Step 5: Solve for x
    x = 77,815,693.81/10,073.59
  6. Step 6: Final answer
    x = 7,724.73

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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.