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Finding the Fourth Proportional to 6,870.92, 10,287.94 and 5,653.04

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Solution

The fourth proportional to 6,870.92, 10,287.94 and 5,653.04 is: 8,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.92 : 10,287.94 = 5,653.04 : x
  2. Step 2: Convert to fraction form
    6,870.92/10,287.94 = 5,653.04/x
  3. Step 3: Cross multiply
    6,870.92x = 10,287.94 × 5,653.04
  4. Step 4: Simplify right side
    6,870.92x = 58,158,136.34
  5. Step 5: Solve for x
    x = 58,158,136.34/6,870.92
  6. Step 6: Final answer
    x = 8,464.39

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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.