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Finding the Fourth Proportional to 10,402.16, 15,602.45 and 6,454.22

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Solution

The fourth proportional to 10,402.16, 15,602.45 and 6,454.22 is: 9,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.16 : 15,602.45 = 6,454.22 : x
  2. Step 2: Convert to fraction form
    10,402.16/15,602.45 = 6,454.22/x
  3. Step 3: Cross multiply
    10,402.16x = 15,602.45 × 6,454.22
  4. Step 4: Simplify right side
    10,402.16x = 100,701,534.56
  5. Step 5: Solve for x
    x = 100,701,534.56/10,402.16
  6. Step 6: Final answer
    x = 9,680.83

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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.