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Finding the Fourth Proportional to 7,912.10, 11,870.32 and 5,686.76

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Solution

The fourth proportional to 7,912.10, 11,870.32 and 5,686.76 is: 8,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.10 : 11,870.32 = 5,686.76 : x
  2. Step 2: Convert to fraction form
    7,912.10/11,870.32 = 5,686.76/x
  3. Step 3: Cross multiply
    7,912.10x = 11,870.32 × 5,686.76
  4. Step 4: Simplify right side
    7,912.10x = 67,503,660.96
  5. Step 5: Solve for x
    x = 67,503,660.96/7,912.10
  6. Step 6: Final answer
    x = 8,531.70

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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.