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Finding the Fourth Proportional to 12,048.87, 16,627.43 and 6,743.68

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Solution

The fourth proportional to 12,048.87, 16,627.43 and 6,743.68 is: 9,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.87 : 16,627.43 = 6,743.68 : x
  2. Step 2: Convert to fraction form
    12,048.87/16,627.43 = 6,743.68/x
  3. Step 3: Cross multiply
    12,048.87x = 16,627.43 × 6,743.68
  4. Step 4: Simplify right side
    12,048.87x = 112,130,067.14
  5. Step 5: Solve for x
    x = 112,130,067.14/12,048.87
  6. Step 6: Final answer
    x = 9,306.28

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