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Finding the Fourth Proportional to 7,902.39, 11,854.88 and 2,972.44

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Solution

The fourth proportional to 7,902.39, 11,854.88 and 2,972.44 is: 4,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.39 : 11,854.88 = 2,972.44 : x
  2. Step 2: Convert to fraction form
    7,902.39/11,854.88 = 2,972.44/x
  3. Step 3: Cross multiply
    7,902.39x = 11,854.88 × 2,972.44
  4. Step 4: Simplify right side
    7,902.39x = 35,237,919.51
  5. Step 5: Solve for x
    x = 35,237,919.51/7,902.39
  6. Step 6: Final answer
    x = 4,459.15

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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.