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Finding the Fourth Proportional to 10,381.99, 15,575.04 and 3,808.24

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Solution

The fourth proportional to 10,381.99, 15,575.04 and 3,808.24 is: 5,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.99 : 15,575.04 = 3,808.24 : x
  2. Step 2: Convert to fraction form
    10,381.99/15,575.04 = 3,808.24/x
  3. Step 3: Cross multiply
    10,381.99x = 15,575.04 × 3,808.24
  4. Step 4: Simplify right side
    10,381.99x = 59,313,393.41
  5. Step 5: Solve for x
    x = 59,313,393.41/10,381.99
  6. Step 6: Final answer
    x = 5,713.10

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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.