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Finding the Fourth Proportional to 11,041.14, 15,234.17 and 7,462.77

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Solution

The fourth proportional to 11,041.14, 15,234.17 and 7,462.77 is: 10,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.14 : 15,234.17 = 7,462.77 : x
  2. Step 2: Convert to fraction form
    11,041.14/15,234.17 = 7,462.77/x
  3. Step 3: Cross multiply
    11,041.14x = 15,234.17 × 7,462.77
  4. Step 4: Simplify right side
    11,041.14x = 113,689,125.51
  5. Step 5: Solve for x
    x = 113,689,125.51/11,041.14
  6. Step 6: Final answer
    x = 10,296.86

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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.