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Finding the Fourth Proportional to 11,057.94, 15,254.97 and 7,471.71

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Solution

The fourth proportional to 11,057.94, 15,254.97 and 7,471.71 is: 10,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.94 : 15,254.97 = 7,471.71 : x
  2. Step 2: Convert to fraction form
    11,057.94/15,254.97 = 7,471.71/x
  3. Step 3: Cross multiply
    11,057.94x = 15,254.97 × 7,471.71
  4. Step 4: Simplify right side
    11,057.94x = 113,980,711.90
  5. Step 5: Solve for x
    x = 113,980,711.90/11,057.94
  6. Step 6: Final answer
    x = 10,307.59

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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.