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Finding the Fourth Proportional to 7,016.58, 9,668.24 and 4,774.56

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Solution

The fourth proportional to 7,016.58, 9,668.24 and 4,774.56 is: 6,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.58 : 9,668.24 = 4,774.56 : x
  2. Step 2: Convert to fraction form
    7,016.58/9,668.24 = 4,774.56/x
  3. Step 3: Cross multiply
    7,016.58x = 9,668.24 × 4,774.56
  4. Step 4: Simplify right side
    7,016.58x = 46,161,591.97
  5. Step 5: Solve for x
    x = 46,161,591.97/7,016.58
  6. Step 6: Final answer
    x = 6,578.93

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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.