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Finding the Fourth Proportional to 10,402.93, 15,610.07 and 3,828.16

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Solution

The fourth proportional to 10,402.93, 15,610.07 and 3,828.16 is: 5,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.93 : 15,610.07 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    10,402.93/15,610.07 = 3,828.16/x
  3. Step 3: Cross multiply
    10,402.93x = 15,610.07 × 3,828.16
  4. Step 4: Simplify right side
    10,402.93x = 59,757,853.12
  5. Step 5: Solve for x
    x = 59,757,853.12/10,402.93
  6. Step 6: Final answer
    x = 5,744.33

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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.