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Finding the Fourth Proportional to 8,061.84, 11,995.22 and 7,860.96

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Solution

The fourth proportional to 8,061.84, 11,995.22 and 7,860.96 is: 11,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.84 : 11,995.22 = 7,860.96 : x
  2. Step 2: Convert to fraction form
    8,061.84/11,995.22 = 7,860.96/x
  3. Step 3: Cross multiply
    8,061.84x = 11,995.22 × 7,860.96
  4. Step 4: Simplify right side
    8,061.84x = 94,293,944.61
  5. Step 5: Solve for x
    x = 94,293,944.61/8,061.84
  6. Step 6: Final answer
    x = 11,696.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.