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Finding the Fourth Proportional to 7,765.85, 10,717.13 and 4,363.46

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Solution

The fourth proportional to 7,765.85, 10,717.13 and 4,363.46 is: 6,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.85 : 10,717.13 = 4,363.46 : x
  2. Step 2: Convert to fraction form
    7,765.85/10,717.13 = 4,363.46/x
  3. Step 3: Cross multiply
    7,765.85x = 10,717.13 × 4,363.46
  4. Step 4: Simplify right side
    7,765.85x = 46,763,692.67
  5. Step 5: Solve for x
    x = 46,763,692.67/7,765.85
  6. Step 6: Final answer
    x = 6,021.71

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