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Finding the Fourth Proportional to 10,635.68, 14,677.26 and 5,920.14

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Solution

The fourth proportional to 10,635.68, 14,677.26 and 5,920.14 is: 8,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.68 : 14,677.26 = 5,920.14 : x
  2. Step 2: Convert to fraction form
    10,635.68/14,677.26 = 5,920.14/x
  3. Step 3: Cross multiply
    10,635.68x = 14,677.26 × 5,920.14
  4. Step 4: Simplify right side
    10,635.68x = 86,891,434.02
  5. Step 5: Solve for x
    x = 86,891,434.02/10,635.68
  6. Step 6: Final answer
    x = 8,169.81

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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.