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Finding the Fourth Proportional to 10,834.26, 16,252.02 and 3,043.68

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Solution

The fourth proportional to 10,834.26, 16,252.02 and 3,043.68 is: 4,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.26 : 16,252.02 = 3,043.68 : x
  2. Step 2: Convert to fraction form
    10,834.26/16,252.02 = 3,043.68/x
  3. Step 3: Cross multiply
    10,834.26x = 16,252.02 × 3,043.68
  4. Step 4: Simplify right side
    10,834.26x = 49,465,948.23
  5. Step 5: Solve for x
    x = 49,465,948.23/10,834.26
  6. Step 6: Final answer
    x = 4,565.70

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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.