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Finding the Fourth Proportional to 8,407.56, 12,613.17 and 2,564.01

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Solution

The fourth proportional to 8,407.56, 12,613.17 and 2,564.01 is: 3,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.56 : 12,613.17 = 2,564.01 : x
  2. Step 2: Convert to fraction form
    8,407.56/12,613.17 = 2,564.01/x
  3. Step 3: Cross multiply
    8,407.56x = 12,613.17 × 2,564.01
  4. Step 4: Simplify right side
    8,407.56x = 32,340,294.01
  5. Step 5: Solve for x
    x = 32,340,294.01/8,407.56
  6. Step 6: Final answer
    x = 3,846.57

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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.