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Finding the Fourth Proportional to 6,516.88, 9,775.24 and 1,586.52

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Solution

The fourth proportional to 6,516.88, 9,775.24 and 1,586.52 is: 2,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.88 : 9,775.24 = 1,586.52 : x
  2. Step 2: Convert to fraction form
    6,516.88/9,775.24 = 1,586.52/x
  3. Step 3: Cross multiply
    6,516.88x = 9,775.24 × 1,586.52
  4. Step 4: Simplify right side
    6,516.88x = 15,508,613.76
  5. Step 5: Solve for x
    x = 15,508,613.76/6,516.88
  6. Step 6: Final answer
    x = 2,379.76

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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.