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Finding the Fourth Proportional to 10,233, 15,353.10 and 5,042.52

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Solution

The fourth proportional to 10,233, 15,353.10 and 5,042.52 is: 7,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 15,353.10 = 5,042.52 : x
  2. Step 2: Convert to fraction form
    10,233/15,353.10 = 5,042.52/x
  3. Step 3: Cross multiply
    10,233x = 15,353.10 × 5,042.52
  4. Step 4: Simplify right side
    10,233x = 77,418,313.81
  5. Step 5: Solve for x
    x = 77,418,313.81/10,233
  6. Step 6: Final answer
    x = 7,565.55

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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.