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Finding the Fourth Proportional to 7,716.94, 11,574.66 and 2,170.16

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Solution

The fourth proportional to 7,716.94, 11,574.66 and 2,170.16 is: 3,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.94 : 11,574.66 = 2,170.16 : x
  2. Step 2: Convert to fraction form
    7,716.94/11,574.66 = 2,170.16/x
  3. Step 3: Cross multiply
    7,716.94x = 11,574.66 × 2,170.16
  4. Step 4: Simplify right side
    7,716.94x = 25,118,864.15
  5. Step 5: Solve for x
    x = 25,118,864.15/7,716.94
  6. Step 6: Final answer
    x = 3,255.03

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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.