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Finding the Fourth Proportional to 8,407.85, 12,613.59 and 2,564.28

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Solution

The fourth proportional to 8,407.85, 12,613.59 and 2,564.28 is: 3,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.85 : 12,613.59 = 2,564.28 : x
  2. Step 2: Convert to fraction form
    8,407.85/12,613.59 = 2,564.28/x
  3. Step 3: Cross multiply
    8,407.85x = 12,613.59 × 2,564.28
  4. Step 4: Simplify right side
    8,407.85x = 32,344,776.57
  5. Step 5: Solve for x
    x = 32,344,776.57/8,407.85
  6. Step 6: Final answer
    x = 3,846.98

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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.