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Finding the Fourth Proportional to 7,972.77, 11,959.02 and 3,587.13

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Solution

The fourth proportional to 7,972.77, 11,959.02 and 3,587.13 is: 5,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.77 : 11,959.02 = 3,587.13 : x
  2. Step 2: Convert to fraction form
    7,972.77/11,959.02 = 3,587.13/x
  3. Step 3: Cross multiply
    7,972.77x = 11,959.02 × 3,587.13
  4. Step 4: Simplify right side
    7,972.77x = 42,898,559.41
  5. Step 5: Solve for x
    x = 42,898,559.41/7,972.77
  6. Step 6: Final answer
    x = 5,380.63

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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.