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Finding the Fourth Proportional to 12,383.13, 17,089.92 and 7,076.93

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Solution

The fourth proportional to 12,383.13, 17,089.92 and 7,076.93 is: 9,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.13 : 17,089.92 = 7,076.93 : x
  2. Step 2: Convert to fraction form
    12,383.13/17,089.92 = 7,076.93/x
  3. Step 3: Cross multiply
    12,383.13x = 17,089.92 × 7,076.93
  4. Step 4: Simplify right side
    12,383.13x = 120,944,210.27
  5. Step 5: Solve for x
    x = 120,944,210.27/12,383.13
  6. Step 6: Final answer
    x = 9,766.85

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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.