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Finding the Fourth Proportional to 11,081.68, 15,292.74 and 7,102.78

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Solution

The fourth proportional to 11,081.68, 15,292.74 and 7,102.78 is: 9,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.68 : 15,292.74 = 7,102.78 : x
  2. Step 2: Convert to fraction form
    11,081.68/15,292.74 = 7,102.78/x
  3. Step 3: Cross multiply
    11,081.68x = 15,292.74 × 7,102.78
  4. Step 4: Simplify right side
    11,081.68x = 108,620,967.82
  5. Step 5: Solve for x
    x = 108,620,967.82/11,081.68
  6. Step 6: Final answer
    x = 9,801.85

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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.