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Finding the Fourth Proportional to 7,312.92, 10,971 and 2,118.84

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Solution

The fourth proportional to 7,312.92, 10,971 and 2,118.84 is: 3,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.92 : 10,971 = 2,118.84 : x
  2. Step 2: Convert to fraction form
    7,312.92/10,971 = 2,118.84/x
  3. Step 3: Cross multiply
    7,312.92x = 10,971 × 2,118.84
  4. Step 4: Simplify right side
    7,312.92x = 23,245,793.64
  5. Step 5: Solve for x
    x = 23,245,793.64/7,312.92
  6. Step 6: Final answer
    x = 3,178.73

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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.