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Finding the Fourth Proportional to 7,969.07, 10,997.62 and 4,432.54

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Solution

The fourth proportional to 7,969.07, 10,997.62 and 4,432.54 is: 6,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.07 : 10,997.62 = 4,432.54 : x
  2. Step 2: Convert to fraction form
    7,969.07/10,997.62 = 4,432.54/x
  3. Step 3: Cross multiply
    7,969.07x = 10,997.62 × 4,432.54
  4. Step 4: Simplify right side
    7,969.07x = 48,747,390.55
  5. Step 5: Solve for x
    x = 48,747,390.55/7,969.07
  6. Step 6: Final answer
    x = 6,117.07

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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.