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Finding the Fourth Proportional to 10,286.76, 15,430.52 and 5,287.79

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Solution

The fourth proportional to 10,286.76, 15,430.52 and 5,287.79 is: 7,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.76 : 15,430.52 = 5,287.79 : x
  2. Step 2: Convert to fraction form
    10,286.76/15,430.52 = 5,287.79/x
  3. Step 3: Cross multiply
    10,286.76x = 15,430.52 × 5,287.79
  4. Step 4: Simplify right side
    10,286.76x = 81,593,349.35
  5. Step 5: Solve for x
    x = 81,593,349.35/10,286.76
  6. Step 6: Final answer
    x = 7,931.88

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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.