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Finding the Fourth Proportional to 10,402.37, 15,609.72 and 3,833.17

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Solution

The fourth proportional to 10,402.37, 15,609.72 and 3,833.17 is: 5,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.37 : 15,609.72 = 3,833.17 : x
  2. Step 2: Convert to fraction form
    10,402.37/15,609.72 = 3,833.17/x
  3. Step 3: Cross multiply
    10,402.37x = 15,609.72 × 3,833.17
  4. Step 4: Simplify right side
    10,402.37x = 59,834,710.41
  5. Step 5: Solve for x
    x = 59,834,710.41/10,402.37
  6. Step 6: Final answer
    x = 5,752.03

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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.