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Finding the Fourth Proportional to 10,411.83, 15,617.94 and 4,863.66

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Solution

The fourth proportional to 10,411.83, 15,617.94 and 4,863.66 is: 7,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.83 : 15,617.94 = 4,863.66 : x
  2. Step 2: Convert to fraction form
    10,411.83/15,617.94 = 4,863.66/x
  3. Step 3: Cross multiply
    10,411.83x = 15,617.94 × 4,863.66
  4. Step 4: Simplify right side
    10,411.83x = 75,960,350.06
  5. Step 5: Solve for x
    x = 75,960,350.06/10,411.83
  6. Step 6: Final answer
    x = 7,295.58

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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.