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Finding the Fourth Proportional to 8,209.64, 11,328 and 4,672.92

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Solution

The fourth proportional to 8,209.64, 11,328 and 4,672.92 is: 6,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.64 : 11,328 = 4,672.92 : x
  2. Step 2: Convert to fraction form
    8,209.64/11,328 = 4,672.92/x
  3. Step 3: Cross multiply
    8,209.64x = 11,328 × 4,672.92
  4. Step 4: Simplify right side
    8,209.64x = 52,934,837.76
  5. Step 5: Solve for x
    x = 52,934,837.76/8,209.64
  6. Step 6: Final answer
    x = 6,447.89

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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.