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Finding the Fourth Proportional to 10,073.49, 13,902.30 and 5,598.15

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Solution

The fourth proportional to 10,073.49, 13,902.30 and 5,598.15 is: 7,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.49 : 13,902.30 = 5,598.15 : x
  2. Step 2: Convert to fraction form
    10,073.49/13,902.30 = 5,598.15/x
  3. Step 3: Cross multiply
    10,073.49x = 13,902.30 × 5,598.15
  4. Step 4: Simplify right side
    10,073.49x = 77,827,160.75
  5. Step 5: Solve for x
    x = 77,827,160.75/10,073.49
  6. Step 6: Final answer
    x = 7,725.94

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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.