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Finding the Fourth Proportional to 8,585.10, 12,870.20 and 3,837.65

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Solution

The fourth proportional to 8,585.10, 12,870.20 and 3,837.65 is: 5,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.10 : 12,870.20 = 3,837.65 : x
  2. Step 2: Convert to fraction form
    8,585.10/12,870.20 = 3,837.65/x
  3. Step 3: Cross multiply
    8,585.10x = 12,870.20 × 3,837.65
  4. Step 4: Simplify right side
    8,585.10x = 49,391,268.27
  5. Step 5: Solve for x
    x = 49,391,268.27/8,585.10
  6. Step 6: Final answer
    x = 5,753.14

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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.