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Finding the Fourth Proportional to 10,827.68, 16,248.24 and 6,934.88

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Solution

The fourth proportional to 10,827.68, 16,248.24 and 6,934.88 is: 10,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.68 : 16,248.24 = 6,934.88 : x
  2. Step 2: Convert to fraction form
    10,827.68/16,248.24 = 6,934.88/x
  3. Step 3: Cross multiply
    10,827.68x = 16,248.24 × 6,934.88
  4. Step 4: Simplify right side
    10,827.68x = 112,679,594.61
  5. Step 5: Solve for x
    x = 112,679,594.61/10,827.68
  6. Step 6: Final answer
    x = 10,406.62

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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.