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Finding the Fourth Proportional to 8,577.28, 11,822.52 and 5,743.64

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Solution

The fourth proportional to 8,577.28, 11,822.52 and 5,743.64 is: 7,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.28 : 11,822.52 = 5,743.64 : x
  2. Step 2: Convert to fraction form
    8,577.28/11,822.52 = 5,743.64/x
  3. Step 3: Cross multiply
    8,577.28x = 11,822.52 × 5,743.64
  4. Step 4: Simplify right side
    8,577.28x = 67,904,298.77
  5. Step 5: Solve for x
    x = 67,904,298.77/8,577.28
  6. Step 6: Final answer
    x = 7,916.76

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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.