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Finding the Fourth Proportional to 8,407.67, 12,599.96 and 4,250.45

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Solution

The fourth proportional to 8,407.67, 12,599.96 and 4,250.45 is: 6,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.67 : 12,599.96 = 4,250.45 : x
  2. Step 2: Convert to fraction form
    8,407.67/12,599.96 = 4,250.45/x
  3. Step 3: Cross multiply
    8,407.67x = 12,599.96 × 4,250.45
  4. Step 4: Simplify right side
    8,407.67x = 53,555,510.23
  5. Step 5: Solve for x
    x = 53,555,510.23/8,407.67
  6. Step 6: Final answer
    x = 6,369.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.