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Finding the Fourth Proportional to 7,717.87, 10,650.50 and 4,360.82

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Solution

The fourth proportional to 7,717.87, 10,650.50 and 4,360.82 is: 6,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.87 : 10,650.50 = 4,360.82 : x
  2. Step 2: Convert to fraction form
    7,717.87/10,650.50 = 4,360.82/x
  3. Step 3: Cross multiply
    7,717.87x = 10,650.50 × 4,360.82
  4. Step 4: Simplify right side
    7,717.87x = 46,444,939.15
  5. Step 5: Solve for x
    x = 46,444,939.15/7,717.87
  6. Step 6: Final answer
    x = 6,017.85

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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.