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Finding the Fourth Proportional to 7,777.17, 11,668.08 and 2,513

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Solution

The fourth proportional to 7,777.17, 11,668.08 and 2,513 is: 3,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.17 : 11,668.08 = 2,513 : x
  2. Step 2: Convert to fraction form
    7,777.17/11,668.08 = 2,513/x
  3. Step 3: Cross multiply
    7,777.17x = 11,668.08 × 2,513
  4. Step 4: Simplify right side
    7,777.17x = 29,321,872.48
  5. Step 5: Solve for x
    x = 29,321,872.48/7,777.17
  6. Step 6: Final answer
    x = 3,770.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.