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Finding the Fourth Proportional to 7,971.68, 10,999.44 and 4,614.62

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Solution

The fourth proportional to 7,971.68, 10,999.44 and 4,614.62 is: 6,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.68 : 10,999.44 = 4,614.62 : x
  2. Step 2: Convert to fraction form
    7,971.68/10,999.44 = 4,614.62/x
  3. Step 3: Cross multiply
    7,971.68x = 10,999.44 × 4,614.62
  4. Step 4: Simplify right side
    7,971.68x = 50,758,235.81
  5. Step 5: Solve for x
    x = 50,758,235.81/7,971.68
  6. Step 6: Final answer
    x = 6,367.32

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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.