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Finding the Fourth Proportional to 7,878.49, 11,817.32 and 2,947.75

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Solution

The fourth proportional to 7,878.49, 11,817.32 and 2,947.75 is: 4,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.49 : 11,817.32 = 2,947.75 : x
  2. Step 2: Convert to fraction form
    7,878.49/11,817.32 = 2,947.75/x
  3. Step 3: Cross multiply
    7,878.49x = 11,817.32 × 2,947.75
  4. Step 4: Simplify right side
    7,878.49x = 34,834,505.03
  5. Step 5: Solve for x
    x = 34,834,505.03/7,878.49
  6. Step 6: Final answer
    x = 4,421.47

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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.