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Finding the Fourth Proportional to 10,006.32, 13,808.28 and 5,757.20

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Solution

The fourth proportional to 10,006.32, 13,808.28 and 5,757.20 is: 7,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.32 : 13,808.28 = 5,757.20 : x
  2. Step 2: Convert to fraction form
    10,006.32/13,808.28 = 5,757.20/x
  3. Step 3: Cross multiply
    10,006.32x = 13,808.28 × 5,757.20
  4. Step 4: Simplify right side
    10,006.32x = 79,497,029.62
  5. Step 5: Solve for x
    x = 79,497,029.62/10,006.32
  6. Step 6: Final answer
    x = 7,944.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.