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Finding the Fourth Proportional to 7,920.84, 11,881.20 and 2,077.36

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Solution

The fourth proportional to 7,920.84, 11,881.20 and 2,077.36 is: 3,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.84 : 11,881.20 = 2,077.36 : x
  2. Step 2: Convert to fraction form
    7,920.84/11,881.20 = 2,077.36/x
  3. Step 3: Cross multiply
    7,920.84x = 11,881.20 × 2,077.36
  4. Step 4: Simplify right side
    7,920.84x = 24,681,529.63
  5. Step 5: Solve for x
    x = 24,681,529.63/7,920.84
  6. Step 6: Final answer
    x = 3,116.02

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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.