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Finding the Fourth Proportional to 7,931.92, 10,943.24 and 4,945.26

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Solution

The fourth proportional to 7,931.92, 10,943.24 and 4,945.26 is: 6,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.92 : 10,943.24 = 4,945.26 : x
  2. Step 2: Convert to fraction form
    7,931.92/10,943.24 = 4,945.26/x
  3. Step 3: Cross multiply
    7,931.92x = 10,943.24 × 4,945.26
  4. Step 4: Simplify right side
    7,931.92x = 54,117,167.04
  5. Step 5: Solve for x
    x = 54,117,167.04/7,931.92
  6. Step 6: Final answer
    x = 6,822.71

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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.