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Finding the Fourth Proportional to 10,102.71, 15,157.10 and 6,104.55

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Solution

The fourth proportional to 10,102.71, 15,157.10 and 6,104.55 is: 9,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.71 : 15,157.10 = 6,104.55 : x
  2. Step 2: Convert to fraction form
    10,102.71/15,157.10 = 6,104.55/x
  3. Step 3: Cross multiply
    10,102.71x = 15,157.10 × 6,104.55
  4. Step 4: Simplify right side
    10,102.71x = 92,527,290.07
  5. Step 5: Solve for x
    x = 92,527,290.07/10,102.71
  6. Step 6: Final answer
    x = 9,158.66

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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.