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Finding the Fourth Proportional to 8,446.25, 11,655.50 and 4,669.71

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Solution

The fourth proportional to 8,446.25, 11,655.50 and 4,669.71 is: 6,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.25 : 11,655.50 = 4,669.71 : x
  2. Step 2: Convert to fraction form
    8,446.25/11,655.50 = 4,669.71/x
  3. Step 3: Cross multiply
    8,446.25x = 11,655.50 × 4,669.71
  4. Step 4: Simplify right side
    8,446.25x = 54,427,781.56
  5. Step 5: Solve for x
    x = 54,427,781.56/8,446.25
  6. Step 6: Final answer
    x = 6,444.02

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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.