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Finding the Fourth Proportional to 10,512.90, 15,772.64 and 3,117.40

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Solution

The fourth proportional to 10,512.90, 15,772.64 and 3,117.40 is: 4,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.90 : 15,772.64 = 3,117.40 : x
  2. Step 2: Convert to fraction form
    10,512.90/15,772.64 = 3,117.40/x
  3. Step 3: Cross multiply
    10,512.90x = 15,772.64 × 3,117.40
  4. Step 4: Simplify right side
    10,512.90x = 49,169,572.92
  5. Step 5: Solve for x
    x = 49,169,572.92/10,512.90
  6. Step 6: Final answer
    x = 4,677.07

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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.