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Finding the Fourth Proportional to 11,161.92, 15,400.80 and 7,184.32

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Solution

The fourth proportional to 11,161.92, 15,400.80 and 7,184.32 is: 9,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.92 : 15,400.80 = 7,184.32 : x
  2. Step 2: Convert to fraction form
    11,161.92/15,400.80 = 7,184.32/x
  3. Step 3: Cross multiply
    11,161.92x = 15,400.80 × 7,184.32
  4. Step 4: Simplify right side
    11,161.92x = 110,644,275.46
  5. Step 5: Solve for x
    x = 110,644,275.46/11,161.92
  6. Step 6: Final answer
    x = 9,912.66

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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.