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Finding the Fourth Proportional to 11,653.52, 17,480.07 and 3,862.13

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Solution

The fourth proportional to 11,653.52, 17,480.07 and 3,862.13 is: 5,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.52 : 17,480.07 = 3,862.13 : x
  2. Step 2: Convert to fraction form
    11,653.52/17,480.07 = 3,862.13/x
  3. Step 3: Cross multiply
    11,653.52x = 17,480.07 × 3,862.13
  4. Step 4: Simplify right side
    11,653.52x = 67,510,215.35
  5. Step 5: Solve for x
    x = 67,510,215.35/11,653.52
  6. Step 6: Final answer
    x = 5,793.12

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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.