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Finding the Fourth Proportional to 7,859.87, 11,782.47 and 5,395.85

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Solution

The fourth proportional to 7,859.87, 11,782.47 and 5,395.85 is: 8,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.87 : 11,782.47 = 5,395.85 : x
  2. Step 2: Convert to fraction form
    7,859.87/11,782.47 = 5,395.85/x
  3. Step 3: Cross multiply
    7,859.87x = 11,782.47 × 5,395.85
  4. Step 4: Simplify right side
    7,859.87x = 63,576,440.75
  5. Step 5: Solve for x
    x = 63,576,440.75/7,859.87
  6. Step 6: Final answer
    x = 8,088.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.