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Finding the Fourth Proportional to 11,686.97, 17,532.86 and 4,291.52

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Solution

The fourth proportional to 11,686.97, 17,532.86 and 4,291.52 is: 6,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.97 : 17,532.86 = 4,291.52 : x
  2. Step 2: Convert to fraction form
    11,686.97/17,532.86 = 4,291.52/x
  3. Step 3: Cross multiply
    11,686.97x = 17,532.86 × 4,291.52
  4. Step 4: Simplify right side
    11,686.97x = 75,242,510.23
  5. Step 5: Solve for x
    x = 75,242,510.23/11,686.97
  6. Step 6: Final answer
    x = 6,438.15

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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.