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Finding the Fourth Proportional to 6,858.74, 10,280.33 and 3,153.32

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Solution

The fourth proportional to 6,858.74, 10,280.33 and 3,153.32 is: 4,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.74 : 10,280.33 = 3,153.32 : x
  2. Step 2: Convert to fraction form
    6,858.74/10,280.33 = 3,153.32/x
  3. Step 3: Cross multiply
    6,858.74x = 10,280.33 × 3,153.32
  4. Step 4: Simplify right side
    6,858.74x = 32,417,103.03
  5. Step 5: Solve for x
    x = 32,417,103.03/6,858.74
  6. Step 6: Final answer
    x = 4,726.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.