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Finding the Fourth Proportional to 8,416.68, 11,614.46 and 5,057.50

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Solution

The fourth proportional to 8,416.68, 11,614.46 and 5,057.50 is: 6,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.68 : 11,614.46 = 5,057.50 : x
  2. Step 2: Convert to fraction form
    8,416.68/11,614.46 = 5,057.50/x
  3. Step 3: Cross multiply
    8,416.68x = 11,614.46 × 5,057.50
  4. Step 4: Simplify right side
    8,416.68x = 58,740,131.45
  5. Step 5: Solve for x
    x = 58,740,131.45/8,416.68
  6. Step 6: Final answer
    x = 6,979.01

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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.