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Finding the Fourth Proportional to 8,476.50, 11,697.57 and 5,164.50

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Solution

The fourth proportional to 8,476.50, 11,697.57 and 5,164.50 is: 7,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.50 : 11,697.57 = 5,164.50 : x
  2. Step 2: Convert to fraction form
    8,476.50/11,697.57 = 5,164.50/x
  3. Step 3: Cross multiply
    8,476.50x = 11,697.57 × 5,164.50
  4. Step 4: Simplify right side
    8,476.50x = 60,412,100.27
  5. Step 5: Solve for x
    x = 60,412,100.27/8,476.50
  6. Step 6: Final answer
    x = 7,127.01

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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.