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Finding the Fourth Proportional to 7,723.12, 10,664.04 and 7,133.44

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Solution

The fourth proportional to 7,723.12, 10,664.04 and 7,133.44 is: 9,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.12 : 10,664.04 = 7,133.44 : x
  2. Step 2: Convert to fraction form
    7,723.12/10,664.04 = 7,133.44/x
  3. Step 3: Cross multiply
    7,723.12x = 10,664.04 × 7,133.44
  4. Step 4: Simplify right side
    7,723.12x = 76,071,289.50
  5. Step 5: Solve for x
    x = 76,071,289.50/7,723.12
  6. Step 6: Final answer
    x = 9,849.81

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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.