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Finding the Fourth Proportional to 11,920.16, 16,448.04 and 6,614.96

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Solution

The fourth proportional to 11,920.16, 16,448.04 and 6,614.96 is: 9,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.16 : 16,448.04 = 6,614.96 : x
  2. Step 2: Convert to fraction form
    11,920.16/16,448.04 = 6,614.96/x
  3. Step 3: Cross multiply
    11,920.16x = 16,448.04 × 6,614.96
  4. Step 4: Simplify right side
    11,920.16x = 108,803,126.68
  5. Step 5: Solve for x
    x = 108,803,126.68/11,920.16
  6. Step 6: Final answer
    x = 9,127.66

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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.