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Finding the Fourth Proportional to 10,469.74, 15,699.48 and 3,806.02

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Solution

The fourth proportional to 10,469.74, 15,699.48 and 3,806.02 is: 5,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.74 : 15,699.48 = 3,806.02 : x
  2. Step 2: Convert to fraction form
    10,469.74/15,699.48 = 3,806.02/x
  3. Step 3: Cross multiply
    10,469.74x = 15,699.48 × 3,806.02
  4. Step 4: Simplify right side
    10,469.74x = 59,752,534.87
  5. Step 5: Solve for x
    x = 59,752,534.87/10,469.74
  6. Step 6: Final answer
    x = 5,707.17

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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.