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Finding the Fourth Proportional to 10,635.68, 14,677.88 and 6,160.84

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Solution

The fourth proportional to 10,635.68, 14,677.88 and 6,160.84 is: 8,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.68 : 14,677.88 = 6,160.84 : x
  2. Step 2: Convert to fraction form
    10,635.68/14,677.88 = 6,160.84/x
  3. Step 3: Cross multiply
    10,635.68x = 14,677.88 × 6,160.84
  4. Step 4: Simplify right side
    10,635.68x = 90,428,002.72
  5. Step 5: Solve for x
    x = 90,428,002.72/10,635.68
  6. Step 6: Final answer
    x = 8,502.32

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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.