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Finding the Fourth Proportional to 11,561.74, 15,948.70 and 7,311.49

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Solution

The fourth proportional to 11,561.74, 15,948.70 and 7,311.49 is: 10,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.74 : 15,948.70 = 7,311.49 : x
  2. Step 2: Convert to fraction form
    11,561.74/15,948.70 = 7,311.49/x
  3. Step 3: Cross multiply
    11,561.74x = 15,948.70 × 7,311.49
  4. Step 4: Simplify right side
    11,561.74x = 116,608,760.56
  5. Step 5: Solve for x
    x = 116,608,760.56/11,561.74
  6. Step 6: Final answer
    x = 10,085.74

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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.