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Finding the Fourth Proportional to 10,411.44, 15,606.22 and 3,833.43

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Solution

The fourth proportional to 10,411.44, 15,606.22 and 3,833.43 is: 5,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.44 : 15,606.22 = 3,833.43 : x
  2. Step 2: Convert to fraction form
    10,411.44/15,606.22 = 3,833.43/x
  3. Step 3: Cross multiply
    10,411.44x = 15,606.22 × 3,833.43
  4. Step 4: Simplify right side
    10,411.44x = 59,825,254.74
  5. Step 5: Solve for x
    x = 59,825,254.74/10,411.44
  6. Step 6: Final answer
    x = 5,746.11

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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.