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Finding the Fourth Proportional to 8,045.76, 12,067.56 and 2,497.80

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Solution

The fourth proportional to 8,045.76, 12,067.56 and 2,497.80 is: 3,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.76 : 12,067.56 = 2,497.80 : x
  2. Step 2: Convert to fraction form
    8,045.76/12,067.56 = 2,497.80/x
  3. Step 3: Cross multiply
    8,045.76x = 12,067.56 × 2,497.80
  4. Step 4: Simplify right side
    8,045.76x = 30,142,351.37
  5. Step 5: Solve for x
    x = 30,142,351.37/8,045.76
  6. Step 6: Final answer
    x = 3,746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.