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Finding the Fourth Proportional to 8,233.88, 12,347.58 and 3,038

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Solution

The fourth proportional to 8,233.88, 12,347.58 and 3,038 is: 4,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.88 : 12,347.58 = 3,038 : x
  2. Step 2: Convert to fraction form
    8,233.88/12,347.58 = 3,038/x
  3. Step 3: Cross multiply
    8,233.88x = 12,347.58 × 3,038
  4. Step 4: Simplify right side
    8,233.88x = 37,511,948.04
  5. Step 5: Solve for x
    x = 37,511,948.04/8,233.88
  6. Step 6: Final answer
    x = 4,555.80

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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.