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Finding the Fourth Proportional to 7,225.62, 10,838.61 and 2,031.90

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Solution

The fourth proportional to 7,225.62, 10,838.61 and 2,031.90 is: 3,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.62 : 10,838.61 = 2,031.90 : x
  2. Step 2: Convert to fraction form
    7,225.62/10,838.61 = 2,031.90/x
  3. Step 3: Cross multiply
    7,225.62x = 10,838.61 × 2,031.90
  4. Step 4: Simplify right side
    7,225.62x = 22,022,971.66
  5. Step 5: Solve for x
    x = 22,022,971.66/7,225.62
  6. Step 6: Final answer
    x = 3,047.90

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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.