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Finding the Fourth Proportional to 8,447.50, 12,671.28 and 2,291.50

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Solution

The fourth proportional to 8,447.50, 12,671.28 and 2,291.50 is: 3,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.50 : 12,671.28 = 2,291.50 : x
  2. Step 2: Convert to fraction form
    8,447.50/12,671.28 = 2,291.50/x
  3. Step 3: Cross multiply
    8,447.50x = 12,671.28 × 2,291.50
  4. Step 4: Simplify right side
    8,447.50x = 29,036,238.12
  5. Step 5: Solve for x
    x = 29,036,238.12/8,447.50
  6. Step 6: Final answer
    x = 3,437.26

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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.