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Finding the Fourth Proportional to 6,931, 10,393.26 and 2,310.76

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Solution

The fourth proportional to 6,931, 10,393.26 and 2,310.76 is: 3,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931 : 10,393.26 = 2,310.76 : x
  2. Step 2: Convert to fraction form
    6,931/10,393.26 = 2,310.76/x
  3. Step 3: Cross multiply
    6,931x = 10,393.26 × 2,310.76
  4. Step 4: Simplify right side
    6,931x = 24,016,329.48
  5. Step 5: Solve for x
    x = 24,016,329.48/6,931
  6. Step 6: Final answer
    x = 3,465.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.