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Finding the Fourth Proportional to 8,407.48, 12,613.08 and 2,564.54

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Solution

The fourth proportional to 8,407.48, 12,613.08 and 2,564.54 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.48 : 12,613.08 = 2,564.54 : x
  2. Step 2: Convert to fraction form
    8,407.48/12,613.08 = 2,564.54/x
  3. Step 3: Cross multiply
    8,407.48x = 12,613.08 × 2,564.54
  4. Step 4: Simplify right side
    8,407.48x = 32,346,748.18
  5. Step 5: Solve for x
    x = 32,346,748.18/8,407.48
  6. Step 6: Final answer
    x = 3,847.38

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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.