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Finding the Fourth Proportional to 7,877.66, 11,817.04 and 2,947.19

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Solution

The fourth proportional to 7,877.66, 11,817.04 and 2,947.19 is: 4,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.66 : 11,817.04 = 2,947.19 : x
  2. Step 2: Convert to fraction form
    7,877.66/11,817.04 = 2,947.19/x
  3. Step 3: Cross multiply
    7,877.66x = 11,817.04 × 2,947.19
  4. Step 4: Simplify right side
    7,877.66x = 34,827,001.19
  5. Step 5: Solve for x
    x = 34,827,001.19/7,877.66
  6. Step 6: Final answer
    x = 4,420.99

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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.