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Finding the Fourth Proportional to 7,952.68, 10,938.18 and 6,377.32

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Solution

The fourth proportional to 7,952.68, 10,938.18 and 6,377.32 is: 8,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.68 : 10,938.18 = 6,377.32 : x
  2. Step 2: Convert to fraction form
    7,952.68/10,938.18 = 6,377.32/x
  3. Step 3: Cross multiply
    7,952.68x = 10,938.18 × 6,377.32
  4. Step 4: Simplify right side
    7,952.68x = 69,756,274.08
  5. Step 5: Solve for x
    x = 69,756,274.08/7,952.68
  6. Step 6: Final answer
    x = 8,771.42

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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.