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Finding the Fourth Proportional to 10,523.61, 15,764.31 and 6,351.03

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Solution

The fourth proportional to 10,523.61, 15,764.31 and 6,351.03 is: 9,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.61 : 15,764.31 = 6,351.03 : x
  2. Step 2: Convert to fraction form
    10,523.61/15,764.31 = 6,351.03/x
  3. Step 3: Cross multiply
    10,523.61x = 15,764.31 × 6,351.03
  4. Step 4: Simplify right side
    10,523.61x = 100,119,605.74
  5. Step 5: Solve for x
    x = 100,119,605.74/10,523.61
  6. Step 6: Final answer
    x = 9,513.81

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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.