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Finding the Fourth Proportional to 8,218.40, 12,324 and 2,374.88

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Solution

The fourth proportional to 8,218.40, 12,324 and 2,374.88 is: 3,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.40 : 12,324 = 2,374.88 : x
  2. Step 2: Convert to fraction form
    8,218.40/12,324 = 2,374.88/x
  3. Step 3: Cross multiply
    8,218.40x = 12,324 × 2,374.88
  4. Step 4: Simplify right side
    8,218.40x = 29,268,021.12
  5. Step 5: Solve for x
    x = 29,268,021.12/8,218.40
  6. Step 6: Final answer
    x = 3,561.28

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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.