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Finding the Fourth Proportional to 7,577.31, 11,368.29 and 3,882.16

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Solution

The fourth proportional to 7,577.31, 11,368.29 and 3,882.16 is: 5,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.31 : 11,368.29 = 3,882.16 : x
  2. Step 2: Convert to fraction form
    7,577.31/11,368.29 = 3,882.16/x
  3. Step 3: Cross multiply
    7,577.31x = 11,368.29 × 3,882.16
  4. Step 4: Simplify right side
    7,577.31x = 44,133,520.71
  5. Step 5: Solve for x
    x = 44,133,520.71/7,577.31
  6. Step 6: Final answer
    x = 5,824.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.