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Finding the Fourth Proportional to 6,707.44, 10,022.60 and 5,117.44

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Solution

The fourth proportional to 6,707.44, 10,022.60 and 5,117.44 is: 7,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.44 : 10,022.60 = 5,117.44 : x
  2. Step 2: Convert to fraction form
    6,707.44/10,022.60 = 5,117.44/x
  3. Step 3: Cross multiply
    6,707.44x = 10,022.60 × 5,117.44
  4. Step 4: Simplify right side
    6,707.44x = 51,290,054.14
  5. Step 5: Solve for x
    x = 51,290,054.14/6,707.44
  6. Step 6: Final answer
    x = 7,646.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.