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Finding the Fourth Proportional to 11,919.47, 16,449.01 and 6,614.78

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Solution

The fourth proportional to 11,919.47, 16,449.01 and 6,614.78 is: 9,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.47 : 16,449.01 = 6,614.78 : x
  2. Step 2: Convert to fraction form
    11,919.47/16,449.01 = 6,614.78/x
  3. Step 3: Cross multiply
    11,919.47x = 16,449.01 × 6,614.78
  4. Step 4: Simplify right side
    11,919.47x = 108,806,483.59
  5. Step 5: Solve for x
    x = 108,806,483.59/11,919.47
  6. Step 6: Final answer
    x = 9,128.47

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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.