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Finding the Fourth Proportional to 11,145, 15,371.24 and 9,471.95

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Solution

The fourth proportional to 11,145, 15,371.24 and 9,471.95 is: 13,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145 : 15,371.24 = 9,471.95 : x
  2. Step 2: Convert to fraction form
    11,145/15,371.24 = 9,471.95/x
  3. Step 3: Cross multiply
    11,145x = 15,371.24 × 9,471.95
  4. Step 4: Simplify right side
    11,145x = 145,595,616.72
  5. Step 5: Solve for x
    x = 145,595,616.72/11,145
  6. Step 6: Final answer
    x = 13,063.76

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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.