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Finding the Fourth Proportional to 8,572.25, 12,847.76 and 5,058.69

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Solution

The fourth proportional to 8,572.25, 12,847.76 and 5,058.69 is: 7,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.25 : 12,847.76 = 5,058.69 : x
  2. Step 2: Convert to fraction form
    8,572.25/12,847.76 = 5,058.69/x
  3. Step 3: Cross multiply
    8,572.25x = 12,847.76 × 5,058.69
  4. Step 4: Simplify right side
    8,572.25x = 64,992,835.03
  5. Step 5: Solve for x
    x = 64,992,835.03/8,572.25
  6. Step 6: Final answer
    x = 7,581.78

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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.