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Finding the Fourth Proportional to 12,077.76, 16,665.69 and 6,772.68

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Solution

The fourth proportional to 12,077.76, 16,665.69 and 6,772.68 is: 9,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.76 : 16,665.69 = 6,772.68 : x
  2. Step 2: Convert to fraction form
    12,077.76/16,665.69 = 6,772.68/x
  3. Step 3: Cross multiply
    12,077.76x = 16,665.69 × 6,772.68
  4. Step 4: Simplify right side
    12,077.76x = 112,871,385.35
  5. Step 5: Solve for x
    x = 112,871,385.35/12,077.76
  6. Step 6: Final answer
    x = 9,345.39

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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.