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Finding the Fourth Proportional to 11,500.38, 15,869.72 and 6,783.75

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Solution

The fourth proportional to 11,500.38, 15,869.72 and 6,783.75 is: 9,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.38 : 15,869.72 = 6,783.75 : x
  2. Step 2: Convert to fraction form
    11,500.38/15,869.72 = 6,783.75/x
  3. Step 3: Cross multiply
    11,500.38x = 15,869.72 × 6,783.75
  4. Step 4: Simplify right side
    11,500.38x = 107,656,230.01
  5. Step 5: Solve for x
    x = 107,656,230.01/11,500.38
  6. Step 6: Final answer
    x = 9,361.10

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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.