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Finding the Fourth Proportional to 12,146.13, 16,765.85 and 7,111.97

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Solution

The fourth proportional to 12,146.13, 16,765.85 and 7,111.97 is: 9,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.13 : 16,765.85 = 7,111.97 : x
  2. Step 2: Convert to fraction form
    12,146.13/16,765.85 = 7,111.97/x
  3. Step 3: Cross multiply
    12,146.13x = 16,765.85 × 7,111.97
  4. Step 4: Simplify right side
    12,146.13x = 119,238,219.05
  5. Step 5: Solve for x
    x = 119,238,219.05/12,146.13
  6. Step 6: Final answer
    x = 9,816.97

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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.