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Finding the Fourth Proportional to 7,311.76, 10,967.76 and 2,381.92

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Solution

The fourth proportional to 7,311.76, 10,967.76 and 2,381.92 is: 3,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.76 : 10,967.76 = 2,381.92 : x
  2. Step 2: Convert to fraction form
    7,311.76/10,967.76 = 2,381.92/x
  3. Step 3: Cross multiply
    7,311.76x = 10,967.76 × 2,381.92
  4. Step 4: Simplify right side
    7,311.76x = 26,124,326.90
  5. Step 5: Solve for x
    x = 26,124,326.90/7,311.76
  6. Step 6: Final answer
    x = 3,572.92

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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.