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Finding the Fourth Proportional to 10,450.42, 15,653.67 and 8,482.66

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Solution

The fourth proportional to 10,450.42, 15,653.67 and 8,482.66 is: 12,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.42 : 15,653.67 = 8,482.66 : x
  2. Step 2: Convert to fraction form
    10,450.42/15,653.67 = 8,482.66/x
  3. Step 3: Cross multiply
    10,450.42x = 15,653.67 × 8,482.66
  4. Step 4: Simplify right side
    10,450.42x = 132,784,760.36
  5. Step 5: Solve for x
    x = 132,784,760.36/10,450.42
  6. Step 6: Final answer
    x = 12,706.16

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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.