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Finding the Fourth Proportional to 10,102.70, 15,148.65 and 4,252.70

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Solution

The fourth proportional to 10,102.70, 15,148.65 and 4,252.70 is: 6,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.70 : 15,148.65 = 4,252.70 : x
  2. Step 2: Convert to fraction form
    10,102.70/15,148.65 = 4,252.70/x
  3. Step 3: Cross multiply
    10,102.70x = 15,148.65 × 4,252.70
  4. Step 4: Simplify right side
    10,102.70x = 64,422,663.86
  5. Step 5: Solve for x
    x = 64,422,663.86/10,102.70
  6. Step 6: Final answer
    x = 6,376.78

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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.