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Finding the Fourth Proportional to 8,310.32, 12,436.80 and 5,146.46

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Solution

The fourth proportional to 8,310.32, 12,436.80 and 5,146.46 is: 7,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.32 : 12,436.80 = 5,146.46 : x
  2. Step 2: Convert to fraction form
    8,310.32/12,436.80 = 5,146.46/x
  3. Step 3: Cross multiply
    8,310.32x = 12,436.80 × 5,146.46
  4. Step 4: Simplify right side
    8,310.32x = 64,005,493.73
  5. Step 5: Solve for x
    x = 64,005,493.73/8,310.32
  6. Step 6: Final answer
    x = 7,701.93

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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.