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Finding the Fourth Proportional to 10,998.71, 15,178.52 and 6,218.83

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Solution

The fourth proportional to 10,998.71, 15,178.52 and 6,218.83 is: 8,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.71 : 15,178.52 = 6,218.83 : x
  2. Step 2: Convert to fraction form
    10,998.71/15,178.52 = 6,218.83/x
  3. Step 3: Cross multiply
    10,998.71x = 15,178.52 × 6,218.83
  4. Step 4: Simplify right side
    10,998.71x = 94,392,635.53
  5. Step 5: Solve for x
    x = 94,392,635.53/10,998.71
  6. Step 6: Final answer
    x = 8,582.16

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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.