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Finding the Fourth Proportional to 12,585.53, 18,862.16 and 5,195.18

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Solution

The fourth proportional to 12,585.53, 18,862.16 and 5,195.18 is: 7,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.53 : 18,862.16 = 5,195.18 : x
  2. Step 2: Convert to fraction form
    12,585.53/18,862.16 = 5,195.18/x
  3. Step 3: Cross multiply
    12,585.53x = 18,862.16 × 5,195.18
  4. Step 4: Simplify right side
    12,585.53x = 97,992,337.57
  5. Step 5: Solve for x
    x = 97,992,337.57/12,585.53
  6. Step 6: Final answer
    x = 7,786.11

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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.