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Finding the Fourth Proportional to 7,643.40, 11,457.92 and 5,766.42

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Solution

The fourth proportional to 7,643.40, 11,457.92 and 5,766.42 is: 8,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.40 : 11,457.92 = 5,766.42 : x
  2. Step 2: Convert to fraction form
    7,643.40/11,457.92 = 5,766.42/x
  3. Step 3: Cross multiply
    7,643.40x = 11,457.92 × 5,766.42
  4. Step 4: Simplify right side
    7,643.40x = 66,071,179.05
  5. Step 5: Solve for x
    x = 66,071,179.05/7,643.40
  6. Step 6: Final answer
    x = 8,644.21

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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.