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Finding the Fourth Proportional to 7,456.05, 10,299.30 and 5,225.31

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Solution

The fourth proportional to 7,456.05, 10,299.30 and 5,225.31 is: 7,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.05 : 10,299.30 = 5,225.31 : x
  2. Step 2: Convert to fraction form
    7,456.05/10,299.30 = 5,225.31/x
  3. Step 3: Cross multiply
    7,456.05x = 10,299.30 × 5,225.31
  4. Step 4: Simplify right side
    7,456.05x = 53,817,035.28
  5. Step 5: Solve for x
    x = 53,817,035.28/7,456.05
  6. Step 6: Final answer
    x = 7,217.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.