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Finding the Fourth Proportional to 7,881.98, 11,815.65 and 2,954.84

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Solution

The fourth proportional to 7,881.98, 11,815.65 and 2,954.84 is: 4,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.98 : 11,815.65 = 2,954.84 : x
  2. Step 2: Convert to fraction form
    7,881.98/11,815.65 = 2,954.84/x
  3. Step 3: Cross multiply
    7,881.98x = 11,815.65 × 2,954.84
  4. Step 4: Simplify right side
    7,881.98x = 34,913,296.17
  5. Step 5: Solve for x
    x = 34,913,296.17/7,881.98
  6. Step 6: Final answer
    x = 4,429.51

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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.