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Finding the Fourth Proportional to 10,087.38, 13,925.62 and 7,813.64

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Solution

The fourth proportional to 10,087.38, 13,925.62 and 7,813.64 is: 10,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.38 : 13,925.62 = 7,813.64 : x
  2. Step 2: Convert to fraction form
    10,087.38/13,925.62 = 7,813.64/x
  3. Step 3: Cross multiply
    10,087.38x = 13,925.62 × 7,813.64
  4. Step 4: Simplify right side
    10,087.38x = 108,809,826.04
  5. Step 5: Solve for x
    x = 108,809,826.04/10,087.38
  6. Step 6: Final answer
    x = 10,786.73

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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.