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Finding the Fourth Proportional to 7,966.07, 10,993 and 4,380.86

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Solution

The fourth proportional to 7,966.07, 10,993 and 4,380.86 is: 6,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.07 : 10,993 = 4,380.86 : x
  2. Step 2: Convert to fraction form
    7,966.07/10,993 = 4,380.86/x
  3. Step 3: Cross multiply
    7,966.07x = 10,993 × 4,380.86
  4. Step 4: Simplify right side
    7,966.07x = 48,158,793.98
  5. Step 5: Solve for x
    x = 48,158,793.98/7,966.07
  6. Step 6: Final answer
    x = 6,045.49

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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.