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Finding the Fourth Proportional to 6,444.82, 8,911.74 and 5,116.20

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Solution

The fourth proportional to 6,444.82, 8,911.74 and 5,116.20 is: 7,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.82 : 8,911.74 = 5,116.20 : x
  2. Step 2: Convert to fraction form
    6,444.82/8,911.74 = 5,116.20/x
  3. Step 3: Cross multiply
    6,444.82x = 8,911.74 × 5,116.20
  4. Step 4: Simplify right side
    6,444.82x = 45,594,244.19
  5. Step 5: Solve for x
    x = 45,594,244.19/6,444.82
  6. Step 6: Final answer
    x = 7,074.56

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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.