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Finding the Fourth Proportional to 6,851.77, 10,314.99 and 4,674.22

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Solution

The fourth proportional to 6,851.77, 10,314.99 and 4,674.22 is: 7,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.77 : 10,314.99 = 4,674.22 : x
  2. Step 2: Convert to fraction form
    6,851.77/10,314.99 = 4,674.22/x
  3. Step 3: Cross multiply
    6,851.77x = 10,314.99 × 4,674.22
  4. Step 4: Simplify right side
    6,851.77x = 48,214,532.56
  5. Step 5: Solve for x
    x = 48,214,532.56/6,851.77
  6. Step 6: Final answer
    x = 7,036.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.