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Finding the Fourth Proportional to 7,225.40, 10,838.70 and 2,294.90

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Solution

The fourth proportional to 7,225.40, 10,838.70 and 2,294.90 is: 3,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.40 : 10,838.70 = 2,294.90 : x
  2. Step 2: Convert to fraction form
    7,225.40/10,838.70 = 2,294.90/x
  3. Step 3: Cross multiply
    7,225.40x = 10,838.70 × 2,294.90
  4. Step 4: Simplify right side
    7,225.40x = 24,873,732.63
  5. Step 5: Solve for x
    x = 24,873,732.63/7,225.40
  6. Step 6: Final answer
    x = 3,442.54

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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.