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Finding the Fourth Proportional to 10,931.64, 15,085.76 and 6,151.43

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Solution

The fourth proportional to 10,931.64, 15,085.76 and 6,151.43 is: 8,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.64 : 15,085.76 = 6,151.43 : x
  2. Step 2: Convert to fraction form
    10,931.64/15,085.76 = 6,151.43/x
  3. Step 3: Cross multiply
    10,931.64x = 15,085.76 × 6,151.43
  4. Step 4: Simplify right side
    10,931.64x = 92,798,890.45
  5. Step 5: Solve for x
    x = 92,798,890.45/10,931.64
  6. Step 6: Final answer
    x = 8,489.02

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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.