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Finding the Fourth Proportional to 7,225.72, 10,838.94 and 2,295.74

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Solution

The fourth proportional to 7,225.72, 10,838.94 and 2,295.74 is: 3,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.72 : 10,838.94 = 2,295.74 : x
  2. Step 2: Convert to fraction form
    7,225.72/10,838.94 = 2,295.74/x
  3. Step 3: Cross multiply
    7,225.72x = 10,838.94 × 2,295.74
  4. Step 4: Simplify right side
    7,225.72x = 24,883,388.12
  5. Step 5: Solve for x
    x = 24,883,388.12/7,225.72
  6. Step 6: Final answer
    x = 3,443.72

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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.