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Finding the Fourth Proportional to 10,162.51, 15,246.50 and 5,229.46

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Solution

The fourth proportional to 10,162.51, 15,246.50 and 5,229.46 is: 7,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.51 : 15,246.50 = 5,229.46 : x
  2. Step 2: Convert to fraction form
    10,162.51/15,246.50 = 5,229.46/x
  3. Step 3: Cross multiply
    10,162.51x = 15,246.50 × 5,229.46
  4. Step 4: Simplify right side
    10,162.51x = 79,730,859.51
  5. Step 5: Solve for x
    x = 79,730,859.51/10,162.51
  6. Step 6: Final answer
    x = 7,845.59

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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.