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Finding the Fourth Proportional to 8,387.68, 11,577.72 and 5,409.04

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Solution

The fourth proportional to 8,387.68, 11,577.72 and 5,409.04 is: 7,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.68 : 11,577.72 = 5,409.04 : x
  2. Step 2: Convert to fraction form
    8,387.68/11,577.72 = 5,409.04/x
  3. Step 3: Cross multiply
    8,387.68x = 11,577.72 × 5,409.04
  4. Step 4: Simplify right side
    8,387.68x = 62,624,350.59
  5. Step 5: Solve for x
    x = 62,624,350.59/8,387.68
  6. Step 6: Final answer
    x = 7,466.23

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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.