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Finding the Fourth Proportional to 7,854.27, 10,838.71 and 4,269.14

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Solution

The fourth proportional to 7,854.27, 10,838.71 and 4,269.14 is: 5,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.27 : 10,838.71 = 4,269.14 : x
  2. Step 2: Convert to fraction form
    7,854.27/10,838.71 = 4,269.14/x
  3. Step 3: Cross multiply
    7,854.27x = 10,838.71 × 4,269.14
  4. Step 4: Simplify right side
    7,854.27x = 46,271,949.06
  5. Step 5: Solve for x
    x = 46,271,949.06/7,854.27
  6. Step 6: Final answer
    x = 5,891.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.