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Finding the Fourth Proportional to 10,508.97, 15,766.50 and 3,113.57

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Solution

The fourth proportional to 10,508.97, 15,766.50 and 3,113.57 is: 4,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.97 : 15,766.50 = 3,113.57 : x
  2. Step 2: Convert to fraction form
    10,508.97/15,766.50 = 3,113.57/x
  3. Step 3: Cross multiply
    10,508.97x = 15,766.50 × 3,113.57
  4. Step 4: Simplify right side
    10,508.97x = 49,090,022.57
  5. Step 5: Solve for x
    x = 49,090,022.57/10,508.97
  6. Step 6: Final answer
    x = 4,671.25

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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.