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Finding the Fourth Proportional to 12,048.71, 16,627.05 and 6,743.52

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Solution

The fourth proportional to 12,048.71, 16,627.05 and 6,743.52 is: 9,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.71 : 16,627.05 = 6,743.52 : x
  2. Step 2: Convert to fraction form
    12,048.71/16,627.05 = 6,743.52/x
  3. Step 3: Cross multiply
    12,048.71x = 16,627.05 × 6,743.52
  4. Step 4: Simplify right side
    12,048.71x = 112,124,844.22
  5. Step 5: Solve for x
    x = 112,124,844.22/12,048.71
  6. Step 6: Final answer
    x = 9,305.97

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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.