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Finding the Fourth Proportional to 8,470.72, 11,691.78 and 5,113.72

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Solution

The fourth proportional to 8,470.72, 11,691.78 and 5,113.72 is: 7,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.72 : 11,691.78 = 5,113.72 : x
  2. Step 2: Convert to fraction form
    8,470.72/11,691.78 = 5,113.72/x
  3. Step 3: Cross multiply
    8,470.72x = 11,691.78 × 5,113.72
  4. Step 4: Simplify right side
    8,470.72x = 59,788,489.22
  5. Step 5: Solve for x
    x = 59,788,489.22/8,470.72
  6. Step 6: Final answer
    x = 7,058.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.