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Finding the Fourth Proportional to 8,498.61, 12,745.35 and 3,567.17

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Solution

The fourth proportional to 8,498.61, 12,745.35 and 3,567.17 is: 5,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.61 : 12,745.35 = 3,567.17 : x
  2. Step 2: Convert to fraction form
    8,498.61/12,745.35 = 3,567.17/x
  3. Step 3: Cross multiply
    8,498.61x = 12,745.35 × 3,567.17
  4. Step 4: Simplify right side
    8,498.61x = 45,464,862.02
  5. Step 5: Solve for x
    x = 45,464,862.02/8,498.61
  6. Step 6: Final answer
    x = 5,349.68

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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.