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Finding the Fourth Proportional to 10,913.16, 15,060.24 and 5,945.16

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Solution

The fourth proportional to 10,913.16, 15,060.24 and 5,945.16 is: 8,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.16 : 15,060.24 = 5,945.16 : x
  2. Step 2: Convert to fraction form
    10,913.16/15,060.24 = 5,945.16/x
  3. Step 3: Cross multiply
    10,913.16x = 15,060.24 × 5,945.16
  4. Step 4: Simplify right side
    10,913.16x = 89,535,536.44
  5. Step 5: Solve for x
    x = 89,535,536.44/10,913.16
  6. Step 6: Final answer
    x = 8,204.36

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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.