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Finding the Fourth Proportional to 7,814.08, 10,787.34 and 5,309.38

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Solution

The fourth proportional to 7,814.08, 10,787.34 and 5,309.38 is: 7,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.08 : 10,787.34 = 5,309.38 : x
  2. Step 2: Convert to fraction form
    7,814.08/10,787.34 = 5,309.38/x
  3. Step 3: Cross multiply
    7,814.08x = 10,787.34 × 5,309.38
  4. Step 4: Simplify right side
    7,814.08x = 57,274,087.25
  5. Step 5: Solve for x
    x = 57,274,087.25/7,814.08
  6. Step 6: Final answer
    x = 7,329.60

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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.