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Finding the Fourth Proportional to 7,854.14, 10,838.78 and 4,269.11

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Solution

The fourth proportional to 7,854.14, 10,838.78 and 4,269.11 is: 5,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.14 : 10,838.78 = 4,269.11 : x
  2. Step 2: Convert to fraction form
    7,854.14/10,838.78 = 4,269.11/x
  3. Step 3: Cross multiply
    7,854.14x = 10,838.78 × 4,269.11
  4. Step 4: Simplify right side
    7,854.14x = 46,271,889.89
  5. Step 5: Solve for x
    x = 46,271,889.89/7,854.14
  6. Step 6: Final answer
    x = 5,891.40

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Why These Related Problems?

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