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Finding the Fourth Proportional to 10,402.18, 15,599.85 and 5,204.50

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Solution

The fourth proportional to 10,402.18, 15,599.85 and 5,204.50 is: 7,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.18 : 15,599.85 = 5,204.50 : x
  2. Step 2: Convert to fraction form
    10,402.18/15,599.85 = 5,204.50/x
  3. Step 3: Cross multiply
    10,402.18x = 15,599.85 × 5,204.50
  4. Step 4: Simplify right side
    10,402.18x = 81,189,419.33
  5. Step 5: Solve for x
    x = 81,189,419.33/10,402.18
  6. Step 6: Final answer
    x = 7,805.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.