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Finding the Fourth Proportional to 7,841.88, 11,760.98 and 2,294.06

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Solution

The fourth proportional to 7,841.88, 11,760.98 and 2,294.06 is: 3,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.88 : 11,760.98 = 2,294.06 : x
  2. Step 2: Convert to fraction form
    7,841.88/11,760.98 = 2,294.06/x
  3. Step 3: Cross multiply
    7,841.88x = 11,760.98 × 2,294.06
  4. Step 4: Simplify right side
    7,841.88x = 26,980,393.78
  5. Step 5: Solve for x
    x = 26,980,393.78/7,841.88
  6. Step 6: Final answer
    x = 3,440.55

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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.