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Finding the Fourth Proportional to 10,527.84, 15,786.24 and 5,257.20

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Solution

The fourth proportional to 10,527.84, 15,786.24 and 5,257.20 is: 7,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.84 : 15,786.24 = 5,257.20 : x
  2. Step 2: Convert to fraction form
    10,527.84/15,786.24 = 5,257.20/x
  3. Step 3: Cross multiply
    10,527.84x = 15,786.24 × 5,257.20
  4. Step 4: Simplify right side
    10,527.84x = 82,991,420.93
  5. Step 5: Solve for x
    x = 82,991,420.93/10,527.84
  6. Step 6: Final answer
    x = 7,883.04

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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.