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Finding the Fourth Proportional to 7,972.66, 11,959.05 and 2,778.52

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Solution

The fourth proportional to 7,972.66, 11,959.05 and 2,778.52 is: 4,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.66 : 11,959.05 = 2,778.52 : x
  2. Step 2: Convert to fraction form
    7,972.66/11,959.05 = 2,778.52/x
  3. Step 3: Cross multiply
    7,972.66x = 11,959.05 × 2,778.52
  4. Step 4: Simplify right side
    7,972.66x = 33,228,459.61
  5. Step 5: Solve for x
    x = 33,228,459.61/7,972.66
  6. Step 6: Final answer
    x = 4,167.80

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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.