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Finding the Fourth Proportional to 8,572.27, 12,848.13 and 4,414.24

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Solution

The fourth proportional to 8,572.27, 12,848.13 and 4,414.24 is: 6,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.27 : 12,848.13 = 4,414.24 : x
  2. Step 2: Convert to fraction form
    8,572.27/12,848.13 = 4,414.24/x
  3. Step 3: Cross multiply
    8,572.27x = 12,848.13 × 4,414.24
  4. Step 4: Simplify right side
    8,572.27x = 56,714,729.37
  5. Step 5: Solve for x
    x = 56,714,729.37/8,572.27
  6. Step 6: Final answer
    x = 6,616.07

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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.