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Finding the Fourth Proportional to 12,040.88, 16,616.41 and 7,849.13

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Solution

The fourth proportional to 12,040.88, 16,616.41 and 7,849.13 is: 10,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040.88 : 16,616.41 = 7,849.13 : x
  2. Step 2: Convert to fraction form
    12,040.88/16,616.41 = 7,849.13/x
  3. Step 3: Cross multiply
    12,040.88x = 16,616.41 × 7,849.13
  4. Step 4: Simplify right side
    12,040.88x = 130,424,259.52
  5. Step 5: Solve for x
    x = 130,424,259.52/12,040.88
  6. Step 6: Final answer
    x = 10,831.79

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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.