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Finding the Fourth Proportional to 8,439.51, 11,635.59 and 5,782.17

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Solution

The fourth proportional to 8,439.51, 11,635.59 and 5,782.17 is: 7,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.51 : 11,635.59 = 5,782.17 : x
  2. Step 2: Convert to fraction form
    8,439.51/11,635.59 = 5,782.17/x
  3. Step 3: Cross multiply
    8,439.51x = 11,635.59 × 5,782.17
  4. Step 4: Simplify right side
    8,439.51x = 67,278,959.43
  5. Step 5: Solve for x
    x = 67,278,959.43/8,439.51
  6. Step 6: Final answer
    x = 7,971.90

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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.