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Finding the Fourth Proportional to 10,873.68, 15,006.84 and 6,158.16

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Solution

The fourth proportional to 10,873.68, 15,006.84 and 6,158.16 is: 8,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.68 : 15,006.84 = 6,158.16 : x
  2. Step 2: Convert to fraction form
    10,873.68/15,006.84 = 6,158.16/x
  3. Step 3: Cross multiply
    10,873.68x = 15,006.84 × 6,158.16
  4. Step 4: Simplify right side
    10,873.68x = 92,414,521.81
  5. Step 5: Solve for x
    x = 92,414,521.81/10,873.68
  6. Step 6: Final answer
    x = 8,498.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.