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Finding the Fourth Proportional to 8,495.40, 12,745.14 and 3,565.41

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Solution

The fourth proportional to 8,495.40, 12,745.14 and 3,565.41 is: 5,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.40 : 12,745.14 = 3,565.41 : x
  2. Step 2: Convert to fraction form
    8,495.40/12,745.14 = 3,565.41/x
  3. Step 3: Cross multiply
    8,495.40x = 12,745.14 × 3,565.41
  4. Step 4: Simplify right side
    8,495.40x = 45,441,649.61
  5. Step 5: Solve for x
    x = 45,441,649.61/8,495.40
  6. Step 6: Final answer
    x = 5,348.97

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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.