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Finding the Fourth Proportional to 7,768.59, 11,649.30 and 2,502.62

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Solution

The fourth proportional to 7,768.59, 11,649.30 and 2,502.62 is: 3,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.59 : 11,649.30 = 2,502.62 : x
  2. Step 2: Convert to fraction form
    7,768.59/11,649.30 = 2,502.62/x
  3. Step 3: Cross multiply
    7,768.59x = 11,649.30 × 2,502.62
  4. Step 4: Simplify right side
    7,768.59x = 29,153,712.92
  5. Step 5: Solve for x
    x = 29,153,712.92/7,768.59
  6. Step 6: Final answer
    x = 3,752.77

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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.