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Finding the Fourth Proportional to 7,840.58, 11,760.65 and 2,294.06

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Solution

The fourth proportional to 7,840.58, 11,760.65 and 2,294.06 is: 3,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.58 : 11,760.65 = 2,294.06 : x
  2. Step 2: Convert to fraction form
    7,840.58/11,760.65 = 2,294.06/x
  3. Step 3: Cross multiply
    7,840.58x = 11,760.65 × 2,294.06
  4. Step 4: Simplify right side
    7,840.58x = 26,979,625.27
  5. Step 5: Solve for x
    x = 26,979,625.27/7,840.58
  6. Step 6: Final answer
    x = 3,441.02

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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.