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Finding the Fourth Proportional to 10,469.23, 15,707.25 and 4,923.12

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Solution

The fourth proportional to 10,469.23, 15,707.25 and 4,923.12 is: 7,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.23 : 15,707.25 = 4,923.12 : x
  2. Step 2: Convert to fraction form
    10,469.23/15,707.25 = 4,923.12/x
  3. Step 3: Cross multiply
    10,469.23x = 15,707.25 × 4,923.12
  4. Step 4: Simplify right side
    10,469.23x = 77,328,735.52
  5. Step 5: Solve for x
    x = 77,328,735.52/10,469.23
  6. Step 6: Final answer
    x = 7,386.29

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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.