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Finding the Fourth Proportional to 8,437.95, 12,654.50 and 2,514.60

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Solution

The fourth proportional to 8,437.95, 12,654.50 and 2,514.60 is: 3,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.95 : 12,654.50 = 2,514.60 : x
  2. Step 2: Convert to fraction form
    8,437.95/12,654.50 = 2,514.60/x
  3. Step 3: Cross multiply
    8,437.95x = 12,654.50 × 2,514.60
  4. Step 4: Simplify right side
    8,437.95x = 31,820,993.13
  5. Step 5: Solve for x
    x = 31,820,993.13/8,437.95
  6. Step 6: Final answer
    x = 3,771.18

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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.