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Finding the Fourth Proportional to 10,471.57, 15,712.74 and 5,790.70

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Solution

The fourth proportional to 10,471.57, 15,712.74 and 5,790.70 is: 8,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.57 : 15,712.74 = 5,790.70 : x
  2. Step 2: Convert to fraction form
    10,471.57/15,712.74 = 5,790.70/x
  3. Step 3: Cross multiply
    10,471.57x = 15,712.74 × 5,790.70
  4. Step 4: Simplify right side
    10,471.57x = 90,987,763.52
  5. Step 5: Solve for x
    x = 90,987,763.52/10,471.57
  6. Step 6: Final answer
    x = 8,689.03

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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.