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Finding the Fourth Proportional to 7,767.80, 10,717.00 and 4,536.87

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Solution

The fourth proportional to 7,767.80, 10,717.00 and 4,536.87 is: 6,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.80 : 10,717.00 = 4,536.87 : x
  2. Step 2: Convert to fraction form
    7,767.80/10,717.00 = 4,536.87/x
  3. Step 3: Cross multiply
    7,767.80x = 10,717.00 × 4,536.87
  4. Step 4: Simplify right side
    7,767.80x = 48,621,692.99
  5. Step 5: Solve for x
    x = 48,621,692.99/7,767.80
  6. Step 6: Final answer
    x = 6,259.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.