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Finding the Fourth Proportional to 8,439.32, 11,646.10 and 4,662.53

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Solution

The fourth proportional to 8,439.32, 11,646.10 and 4,662.53 is: 6,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.32 : 11,646.10 = 4,662.53 : x
  2. Step 2: Convert to fraction form
    8,439.32/11,646.10 = 4,662.53/x
  3. Step 3: Cross multiply
    8,439.32x = 11,646.10 × 4,662.53
  4. Step 4: Simplify right side
    8,439.32x = 54,300,209.09
  5. Step 5: Solve for x
    x = 54,300,209.09/8,439.32
  6. Step 6: Final answer
    x = 6,434.20

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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.