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Finding the Fourth Proportional to 7,311.86, 10,967.13 and 2,046.42

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Solution

The fourth proportional to 7,311.86, 10,967.13 and 2,046.42 is: 3,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.86 : 10,967.13 = 2,046.42 : x
  2. Step 2: Convert to fraction form
    7,311.86/10,967.13 = 2,046.42/x
  3. Step 3: Cross multiply
    7,311.86x = 10,967.13 × 2,046.42
  4. Step 4: Simplify right side
    7,311.86x = 22,443,354.17
  5. Step 5: Solve for x
    x = 22,443,354.17/7,311.86
  6. Step 6: Final answer
    x = 3,069.45

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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.