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Finding the Fourth Proportional to 7,225.40, 10,842.90 and 4,105.40

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Solution

The fourth proportional to 7,225.40, 10,842.90 and 4,105.40 is: 6,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.40 : 10,842.90 = 4,105.40 : x
  2. Step 2: Convert to fraction form
    7,225.40/10,842.90 = 4,105.40/x
  3. Step 3: Cross multiply
    7,225.40x = 10,842.90 × 4,105.40
  4. Step 4: Simplify right side
    7,225.40x = 44,514,441.66
  5. Step 5: Solve for x
    x = 44,514,441.66/7,225.40
  6. Step 6: Final answer
    x = 6,160.83

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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.