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Finding the Fourth Proportional to 8,414.50, 11,612.41 and 4,688.50

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Solution

The fourth proportional to 8,414.50, 11,612.41 and 4,688.50 is: 6,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.50 : 11,612.41 = 4,688.50 : x
  2. Step 2: Convert to fraction form
    8,414.50/11,612.41 = 4,688.50/x
  3. Step 3: Cross multiply
    8,414.50x = 11,612.41 × 4,688.50
  4. Step 4: Simplify right side
    8,414.50x = 54,444,784.29
  5. Step 5: Solve for x
    x = 54,444,784.29/8,414.50
  6. Step 6: Final answer
    x = 6,470.35

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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.