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Finding the Fourth Proportional to 7,716.64, 10,642.32 and 6,224

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Solution

The fourth proportional to 7,716.64, 10,642.32 and 6,224 is: 8,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.64 : 10,642.32 = 6,224 : x
  2. Step 2: Convert to fraction form
    7,716.64/10,642.32 = 6,224/x
  3. Step 3: Cross multiply
    7,716.64x = 10,642.32 × 6,224
  4. Step 4: Simplify right side
    7,716.64x = 66,237,799.68
  5. Step 5: Solve for x
    x = 66,237,799.68/7,716.64
  6. Step 6: Final answer
    x = 8,583.76

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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.