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Finding the Fourth Proportional to 11,657.62, 17,475.27 and 3,862.18

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Solution

The fourth proportional to 11,657.62, 17,475.27 and 3,862.18 is: 5,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.62 : 17,475.27 = 3,862.18 : x
  2. Step 2: Convert to fraction form
    11,657.62/17,475.27 = 3,862.18/x
  3. Step 3: Cross multiply
    11,657.62x = 17,475.27 × 3,862.18
  4. Step 4: Simplify right side
    11,657.62x = 67,492,638.29
  5. Step 5: Solve for x
    x = 67,492,638.29/11,657.62
  6. Step 6: Final answer
    x = 5,789.57

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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.