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Finding the Fourth Proportional to 7,774.09, 10,716.92 and 5,380.41

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Solution

The fourth proportional to 7,774.09, 10,716.92 and 5,380.41 is: 7,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.09 : 10,716.92 = 5,380.41 : x
  2. Step 2: Convert to fraction form
    7,774.09/10,716.92 = 5,380.41/x
  3. Step 3: Cross multiply
    7,774.09x = 10,716.92 × 5,380.41
  4. Step 4: Simplify right side
    7,774.09x = 57,661,423.54
  5. Step 5: Solve for x
    x = 57,661,423.54/7,774.09
  6. Step 6: Final answer
    x = 7,417.13

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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.