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Finding the Fourth Proportional to 7,840.90, 11,763.15 and 2,294.11

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Solution

The fourth proportional to 7,840.90, 11,763.15 and 2,294.11 is: 3,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.90 : 11,763.15 = 2,294.11 : x
  2. Step 2: Convert to fraction form
    7,840.90/11,763.15 = 2,294.11/x
  3. Step 3: Cross multiply
    7,840.90x = 11,763.15 × 2,294.11
  4. Step 4: Simplify right side
    7,840.90x = 26,985,960.05
  5. Step 5: Solve for x
    x = 26,985,960.05/7,840.90
  6. Step 6: Final answer
    x = 3,441.69

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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.