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Finding the Fourth Proportional to 8,581.25, 12,814.76 and 8,488.47

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Solution

The fourth proportional to 8,581.25, 12,814.76 and 8,488.47 is: 12,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.25 : 12,814.76 = 8,488.47 : x
  2. Step 2: Convert to fraction form
    8,581.25/12,814.76 = 8,488.47/x
  3. Step 3: Cross multiply
    8,581.25x = 12,814.76 × 8,488.47
  4. Step 4: Simplify right side
    8,581.25x = 108,777,663.37
  5. Step 5: Solve for x
    x = 108,777,663.37/8,581.25
  6. Step 6: Final answer
    x = 12,676.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.