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Finding the Fourth Proportional to 12,081, 16,671.81 and 7,048.68

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Solution

The fourth proportional to 12,081, 16,671.81 and 7,048.68 is: 9,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081 : 16,671.81 = 7,048.68 : x
  2. Step 2: Convert to fraction form
    12,081/16,671.81 = 7,048.68/x
  3. Step 3: Cross multiply
    12,081x = 16,671.81 × 7,048.68
  4. Step 4: Simplify right side
    12,081x = 117,514,253.71
  5. Step 5: Solve for x
    x = 117,514,253.71/12,081
  6. Step 6: Final answer
    x = 9,727.20

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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.