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Finding the Fourth Proportional to 11,920.13, 16,449.72 and 6,614.93

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Solution

The fourth proportional to 11,920.13, 16,449.72 and 6,614.93 is: 9,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.13 : 16,449.72 = 6,614.93 : x
  2. Step 2: Convert to fraction form
    11,920.13/16,449.72 = 6,614.93/x
  3. Step 3: Cross multiply
    11,920.13x = 16,449.72 × 6,614.93
  4. Step 4: Simplify right side
    11,920.13x = 108,813,746.32
  5. Step 5: Solve for x
    x = 108,813,746.32/11,920.13
  6. Step 6: Final answer
    x = 9,128.57

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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.