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Finding the Fourth Proportional to 8,417.50, 11,614.78 and 5,059.50

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Solution

The fourth proportional to 8,417.50, 11,614.78 and 5,059.50 is: 6,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.50 : 11,614.78 = 5,059.50 : x
  2. Step 2: Convert to fraction form
    8,417.50/11,614.78 = 5,059.50/x
  3. Step 3: Cross multiply
    8,417.50x = 11,614.78 × 5,059.50
  4. Step 4: Simplify right side
    8,417.50x = 58,764,979.41
  5. Step 5: Solve for x
    x = 58,764,979.41/8,417.50
  6. Step 6: Final answer
    x = 6,981.29

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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.