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Finding the Fourth Proportional to 8,342.88, 11,513.76 and 4,617.12

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Solution

The fourth proportional to 8,342.88, 11,513.76 and 4,617.12 is: 6,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.88 : 11,513.76 = 4,617.12 : x
  2. Step 2: Convert to fraction form
    8,342.88/11,513.76 = 4,617.12/x
  3. Step 3: Cross multiply
    8,342.88x = 11,513.76 × 4,617.12
  4. Step 4: Simplify right side
    8,342.88x = 53,160,411.57
  5. Step 5: Solve for x
    x = 53,160,411.57/8,342.88
  6. Step 6: Final answer
    x = 6,371.95

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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.