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Finding the Fourth Proportional to 8,697.80, 11,997.50 and 5,158.50

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Solution

The fourth proportional to 8,697.80, 11,997.50 and 5,158.50 is: 7,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.80 : 11,997.50 = 5,158.50 : x
  2. Step 2: Convert to fraction form
    8,697.80/11,997.50 = 5,158.50/x
  3. Step 3: Cross multiply
    8,697.80x = 11,997.50 × 5,158.50
  4. Step 4: Simplify right side
    8,697.80x = 61,889,077.96
  5. Step 5: Solve for x
    x = 61,889,077.96/8,697.80
  6. Step 6: Final answer
    x = 7,115.49

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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.