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Finding the Fourth Proportional to 7,817.38, 11,728.52 and 2,816.32

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Solution

The fourth proportional to 7,817.38, 11,728.52 and 2,816.32 is: 4,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.38 : 11,728.52 = 2,816.32 : x
  2. Step 2: Convert to fraction form
    7,817.38/11,728.52 = 2,816.32/x
  3. Step 3: Cross multiply
    7,817.38x = 11,728.52 × 2,816.32
  4. Step 4: Simplify right side
    7,817.38x = 33,031,265.45
  5. Step 5: Solve for x
    x = 33,031,265.45/7,817.38
  6. Step 6: Final answer
    x = 4,225.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.