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Finding the Fourth Proportional to 8,111.52, 12,160.02 and 3,184.68

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Solution

The fourth proportional to 8,111.52, 12,160.02 and 3,184.68 is: 4,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.52 : 12,160.02 = 3,184.68 : x
  2. Step 2: Convert to fraction form
    8,111.52/12,160.02 = 3,184.68/x
  3. Step 3: Cross multiply
    8,111.52x = 12,160.02 × 3,184.68
  4. Step 4: Simplify right side
    8,111.52x = 38,725,772.49
  5. Step 5: Solve for x
    x = 38,725,772.49/8,111.52
  6. Step 6: Final answer
    x = 4,774.17

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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.