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Finding the Fourth Proportional to 11,560.91, 15,938.16 and 7,309.85

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Solution

The fourth proportional to 11,560.91, 15,938.16 and 7,309.85 is: 10,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.91 : 15,938.16 = 7,309.85 : x
  2. Step 2: Convert to fraction form
    11,560.91/15,938.16 = 7,309.85/x
  3. Step 3: Cross multiply
    11,560.91x = 15,938.16 × 7,309.85
  4. Step 4: Simplify right side
    11,560.91x = 116,505,479.19
  5. Step 5: Solve for x
    x = 116,505,479.19/11,560.91
  6. Step 6: Final answer
    x = 10,077.54

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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.