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Finding the Fourth Proportional to 7,768.15, 11,651.06 and 2,502.47

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Solution

The fourth proportional to 7,768.15, 11,651.06 and 2,502.47 is: 3,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.15 : 11,651.06 = 2,502.47 : x
  2. Step 2: Convert to fraction form
    7,768.15/11,651.06 = 2,502.47/x
  3. Step 3: Cross multiply
    7,768.15x = 11,651.06 × 2,502.47
  4. Step 4: Simplify right side
    7,768.15x = 29,156,463.50
  5. Step 5: Solve for x
    x = 29,156,463.50/7,768.15
  6. Step 6: Final answer
    x = 3,753.34

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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.