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Finding the Fourth Proportional to 8,663.78, 12,907.05 and 8,245.82

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Solution

The fourth proportional to 8,663.78, 12,907.05 and 8,245.82 is: 12,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.78 : 12,907.05 = 8,245.82 : x
  2. Step 2: Convert to fraction form
    8,663.78/12,907.05 = 8,245.82/x
  3. Step 3: Cross multiply
    8,663.78x = 12,907.05 × 8,245.82
  4. Step 4: Simplify right side
    8,663.78x = 106,429,169.80
  5. Step 5: Solve for x
    x = 106,429,169.80/8,663.78
  6. Step 6: Final answer
    x = 12,284.38

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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.