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Finding the Fourth Proportional to 11,146.77, 15,380.02 and 7,562.22

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Solution

The fourth proportional to 11,146.77, 15,380.02 and 7,562.22 is: 10,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.77 : 15,380.02 = 7,562.22 : x
  2. Step 2: Convert to fraction form
    11,146.77/15,380.02 = 7,562.22/x
  3. Step 3: Cross multiply
    11,146.77x = 15,380.02 × 7,562.22
  4. Step 4: Simplify right side
    11,146.77x = 116,307,104.30
  5. Step 5: Solve for x
    x = 116,307,104.30/11,146.77
  6. Step 6: Final answer
    x = 10,434.15

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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.