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Finding the Fourth Proportional to 7,873.15, 10,874.70 and 5,716.26

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Solution

The fourth proportional to 7,873.15, 10,874.70 and 5,716.26 is: 7,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.15 : 10,874.70 = 5,716.26 : x
  2. Step 2: Convert to fraction form
    7,873.15/10,874.70 = 5,716.26/x
  3. Step 3: Cross multiply
    7,873.15x = 10,874.70 × 5,716.26
  4. Step 4: Simplify right side
    7,873.15x = 62,162,529.67
  5. Step 5: Solve for x
    x = 62,162,529.67/7,873.15
  6. Step 6: Final answer
    x = 7,895.51

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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.