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Finding the Fourth Proportional to 12,661.40, 18,963.54 and 6,092.51

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Solution

The fourth proportional to 12,661.40, 18,963.54 and 6,092.51 is: 9,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.40 : 18,963.54 = 6,092.51 : x
  2. Step 2: Convert to fraction form
    12,661.40/18,963.54 = 6,092.51/x
  3. Step 3: Cross multiply
    12,661.40x = 18,963.54 × 6,092.51
  4. Step 4: Simplify right side
    12,661.40x = 115,535,462.27
  5. Step 5: Solve for x
    x = 115,535,462.27/12,661.40
  6. Step 6: Final answer
    x = 9,125.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.