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Finding the Fourth Proportional to 8,371.64, 11,553.18 and 4,646.36

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Solution

The fourth proportional to 8,371.64, 11,553.18 and 4,646.36 is: 6,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.64 : 11,553.18 = 4,646.36 : x
  2. Step 2: Convert to fraction form
    8,371.64/11,553.18 = 4,646.36/x
  3. Step 3: Cross multiply
    8,371.64x = 11,553.18 × 4,646.36
  4. Step 4: Simplify right side
    8,371.64x = 53,680,233.42
  5. Step 5: Solve for x
    x = 53,680,233.42/8,371.64
  6. Step 6: Final answer
    x = 6,412.15

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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.