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Finding the Fourth Proportional to 10,234.48, 15,353.16 and 4,689.22

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Solution

The fourth proportional to 10,234.48, 15,353.16 and 4,689.22 is: 7,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.48 : 15,353.16 = 4,689.22 : x
  2. Step 2: Convert to fraction form
    10,234.48/15,353.16 = 4,689.22/x
  3. Step 3: Cross multiply
    10,234.48x = 15,353.16 × 4,689.22
  4. Step 4: Simplify right side
    10,234.48x = 71,994,344.94
  5. Step 5: Solve for x
    x = 71,994,344.94/10,234.48
  6. Step 6: Final answer
    x = 7,034.49

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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.