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Finding the Fourth Proportional to 10,931.42, 15,086.04 and 6,217.22

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Solution

The fourth proportional to 10,931.42, 15,086.04 and 6,217.22 is: 8,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.42 : 15,086.04 = 6,217.22 : x
  2. Step 2: Convert to fraction form
    10,931.42/15,086.04 = 6,217.22/x
  3. Step 3: Cross multiply
    10,931.42x = 15,086.04 × 6,217.22
  4. Step 4: Simplify right side
    10,931.42x = 93,793,229.61
  5. Step 5: Solve for x
    x = 93,793,229.61/10,931.42
  6. Step 6: Final answer
    x = 8,580.15

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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.