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Finding the Fourth Proportional to 10,488.03, 15,728.61 and 3,466.41

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Solution

The fourth proportional to 10,488.03, 15,728.61 and 3,466.41 is: 5,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.03 : 15,728.61 = 3,466.41 : x
  2. Step 2: Convert to fraction form
    10,488.03/15,728.61 = 3,466.41/x
  3. Step 3: Cross multiply
    10,488.03x = 15,728.61 × 3,466.41
  4. Step 4: Simplify right side
    10,488.03x = 54,521,810.99
  5. Step 5: Solve for x
    x = 54,521,810.99/10,488.03
  6. Step 6: Final answer
    x = 5,198.48

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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.