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Finding the Fourth Proportional to 12,012.76, 16,575.87 and 7,296.13

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Solution

The fourth proportional to 12,012.76, 16,575.87 and 7,296.13 is: 10,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.76 : 16,575.87 = 7,296.13 : x
  2. Step 2: Convert to fraction form
    12,012.76/16,575.87 = 7,296.13/x
  3. Step 3: Cross multiply
    12,012.76x = 16,575.87 × 7,296.13
  4. Step 4: Simplify right side
    12,012.76x = 120,939,702.38
  5. Step 5: Solve for x
    x = 120,939,702.38/12,012.76
  6. Step 6: Final answer
    x = 10,067.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.