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Finding the Fourth Proportional to 10,231.76, 15,352.50 and 5,300.48

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Solution

The fourth proportional to 10,231.76, 15,352.50 and 5,300.48 is: 7,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.76 : 15,352.50 = 5,300.48 : x
  2. Step 2: Convert to fraction form
    10,231.76/15,352.50 = 5,300.48/x
  3. Step 3: Cross multiply
    10,231.76x = 15,352.50 × 5,300.48
  4. Step 4: Simplify right side
    10,231.76x = 81,375,619.20
  5. Step 5: Solve for x
    x = 81,375,619.20/10,231.76
  6. Step 6: Final answer
    x = 7,953.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.