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Finding the Fourth Proportional to 8,182.34, 12,272.29 and 2,987

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Solution

The fourth proportional to 8,182.34, 12,272.29 and 2,987 is: 4,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.34 : 12,272.29 = 2,987 : x
  2. Step 2: Convert to fraction form
    8,182.34/12,272.29 = 2,987/x
  3. Step 3: Cross multiply
    8,182.34x = 12,272.29 × 2,987
  4. Step 4: Simplify right side
    8,182.34x = 36,657,330.23
  5. Step 5: Solve for x
    x = 36,657,330.23/8,182.34
  6. Step 6: Final answer
    x = 4,480.05

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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.