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Finding the Fourth Proportional to 7,931.55, 10,935.16 and 6,824.38

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Solution

The fourth proportional to 7,931.55, 10,935.16 and 6,824.38 is: 9,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.55 : 10,935.16 = 6,824.38 : x
  2. Step 2: Convert to fraction form
    7,931.55/10,935.16 = 6,824.38/x
  3. Step 3: Cross multiply
    7,931.55x = 10,935.16 × 6,824.38
  4. Step 4: Simplify right side
    7,931.55x = 74,625,687.20
  5. Step 5: Solve for x
    x = 74,625,687.20/7,931.55
  6. Step 6: Final answer
    x = 9,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.