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Finding the Fourth Proportional to 8,538.13, 12,807.19 and 2,382.13

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Solution

The fourth proportional to 8,538.13, 12,807.19 and 2,382.13 is: 3,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.13 : 12,807.19 = 2,382.13 : x
  2. Step 2: Convert to fraction form
    8,538.13/12,807.19 = 2,382.13/x
  3. Step 3: Cross multiply
    8,538.13x = 12,807.19 × 2,382.13
  4. Step 4: Simplify right side
    8,538.13x = 30,508,391.51
  5. Step 5: Solve for x
    x = 30,508,391.51/8,538.13
  6. Step 6: Final answer
    x = 3,573.19

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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.