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Finding the Fourth Proportional to 8,493.86, 12,654.68 and 8,075.61

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Solution

The fourth proportional to 8,493.86, 12,654.68 and 8,075.61 is: 12,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.86 : 12,654.68 = 8,075.61 : x
  2. Step 2: Convert to fraction form
    8,493.86/12,654.68 = 8,075.61/x
  3. Step 3: Cross multiply
    8,493.86x = 12,654.68 × 8,075.61
  4. Step 4: Simplify right side
    8,493.86x = 102,194,260.35
  5. Step 5: Solve for x
    x = 102,194,260.35/8,493.86
  6. Step 6: Final answer
    x = 12,031.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.