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Finding the Fourth Proportional to 8,381.32, 12,573.66 and 3,187.24

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Solution

The fourth proportional to 8,381.32, 12,573.66 and 3,187.24 is: 4,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.32 : 12,573.66 = 3,187.24 : x
  2. Step 2: Convert to fraction form
    8,381.32/12,573.66 = 3,187.24/x
  3. Step 3: Cross multiply
    8,381.32x = 12,573.66 × 3,187.24
  4. Step 4: Simplify right side
    8,381.32x = 40,075,272.10
  5. Step 5: Solve for x
    x = 40,075,272.10/8,381.32
  6. Step 6: Final answer
    x = 4,781.50

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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.