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Finding the Fourth Proportional to 8,385, 11,568.35 and 5,028.90

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Solution

The fourth proportional to 8,385, 11,568.35 and 5,028.90 is: 6,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385 : 11,568.35 = 5,028.90 : x
  2. Step 2: Convert to fraction form
    8,385/11,568.35 = 5,028.90/x
  3. Step 3: Cross multiply
    8,385x = 11,568.35 × 5,028.90
  4. Step 4: Simplify right side
    8,385x = 58,176,087.89
  5. Step 5: Solve for x
    x = 58,176,087.89/8,385
  6. Step 6: Final answer
    x = 6,938.11

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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.