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Finding the Fourth Proportional to 7,157.86, 9,877.61 and 4,173.82

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Solution

The fourth proportional to 7,157.86, 9,877.61 and 4,173.82 is: 5,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.86 : 9,877.61 = 4,173.82 : x
  2. Step 2: Convert to fraction form
    7,157.86/9,877.61 = 4,173.82/x
  3. Step 3: Cross multiply
    7,157.86x = 9,877.61 × 4,173.82
  4. Step 4: Simplify right side
    7,157.86x = 41,227,316.78
  5. Step 5: Solve for x
    x = 41,227,316.78/7,157.86
  6. Step 6: Final answer
    x = 5,759.73

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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.