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Finding the Fourth Proportional to 8,207.60, 11,327 and 4,671.12

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Solution

The fourth proportional to 8,207.60, 11,327 and 4,671.12 is: 6,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.60 : 11,327 = 4,671.12 : x
  2. Step 2: Convert to fraction form
    8,207.60/11,327 = 4,671.12/x
  3. Step 3: Cross multiply
    8,207.60x = 11,327 × 4,671.12
  4. Step 4: Simplify right side
    8,207.60x = 52,909,776.24
  5. Step 5: Solve for x
    x = 52,909,776.24/8,207.60
  6. Step 6: Final answer
    x = 6,446.44

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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.