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Finding the Fourth Proportional to 12,384.13, 17,091.28 and 7,077.92

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Solution

The fourth proportional to 12,384.13, 17,091.28 and 7,077.92 is: 9,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.13 : 17,091.28 = 7,077.92 : x
  2. Step 2: Convert to fraction form
    12,384.13/17,091.28 = 7,077.92/x
  3. Step 3: Cross multiply
    12,384.13x = 17,091.28 × 7,077.92
  4. Step 4: Simplify right side
    12,384.13x = 120,970,712.54
  5. Step 5: Solve for x
    x = 120,970,712.54/12,384.13
  6. Step 6: Final answer
    x = 9,768.20

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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.