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Finding the Fourth Proportional to 7,767.84, 11,649.24 and 2,572.50

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Solution

The fourth proportional to 7,767.84, 11,649.24 and 2,572.50 is: 3,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.84 : 11,649.24 = 2,572.50 : x
  2. Step 2: Convert to fraction form
    7,767.84/11,649.24 = 2,572.50/x
  3. Step 3: Cross multiply
    7,767.84x = 11,649.24 × 2,572.50
  4. Step 4: Simplify right side
    7,767.84x = 29,967,669.90
  5. Step 5: Solve for x
    x = 29,967,669.90/7,767.84
  6. Step 6: Final answer
    x = 3,857.92

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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.