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Finding the Fourth Proportional to 6,527.16, 9,783.99 and 2,576.88

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Solution

The fourth proportional to 6,527.16, 9,783.99 and 2,576.88 is: 3,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.16 : 9,783.99 = 2,576.88 : x
  2. Step 2: Convert to fraction form
    6,527.16/9,783.99 = 2,576.88/x
  3. Step 3: Cross multiply
    6,527.16x = 9,783.99 × 2,576.88
  4. Step 4: Simplify right side
    6,527.16x = 25,212,168.15
  5. Step 5: Solve for x
    x = 25,212,168.15/6,527.16
  6. Step 6: Final answer
    x = 3,862.66

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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.