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Finding the Fourth Proportional to 10,402.33, 15,603.49 and 3,476.83

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Solution

The fourth proportional to 10,402.33, 15,603.49 and 3,476.83 is: 5,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.33 : 15,603.49 = 3,476.83 : x
  2. Step 2: Convert to fraction form
    10,402.33/15,603.49 = 3,476.83/x
  3. Step 3: Cross multiply
    10,402.33x = 15,603.49 × 3,476.83
  4. Step 4: Simplify right side
    10,402.33x = 54,250,682.14
  5. Step 5: Solve for x
    x = 54,250,682.14/10,402.33
  6. Step 6: Final answer
    x = 5,215.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.