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Finding the Fourth Proportional to 8,439.76, 11,635.95 and 5,782.42

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Solution

The fourth proportional to 8,439.76, 11,635.95 and 5,782.42 is: 7,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.76 : 11,635.95 = 5,782.42 : x
  2. Step 2: Convert to fraction form
    8,439.76/11,635.95 = 5,782.42/x
  3. Step 3: Cross multiply
    8,439.76x = 11,635.95 × 5,782.42
  4. Step 4: Simplify right side
    8,439.76x = 67,283,950.00
  5. Step 5: Solve for x
    x = 67,283,950.00/8,439.76
  6. Step 6: Final answer
    x = 7,972.26

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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.