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Finding the Fourth Proportional to 8,567.47, 12,851.16 and 4,408.66

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Solution

The fourth proportional to 8,567.47, 12,851.16 and 4,408.66 is: 6,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.47 : 12,851.16 = 4,408.66 : x
  2. Step 2: Convert to fraction form
    8,567.47/12,851.16 = 4,408.66/x
  3. Step 3: Cross multiply
    8,567.47x = 12,851.16 × 4,408.66
  4. Step 4: Simplify right side
    8,567.47x = 56,656,395.05
  5. Step 5: Solve for x
    x = 56,656,395.05/8,567.47
  6. Step 6: Final answer
    x = 6,612.97

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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.