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Finding the Fourth Proportional to 8,226.64, 11,352.09 and 4,689.19

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Solution

The fourth proportional to 8,226.64, 11,352.09 and 4,689.19 is: 6,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.64 : 11,352.09 = 4,689.19 : x
  2. Step 2: Convert to fraction form
    8,226.64/11,352.09 = 4,689.19/x
  3. Step 3: Cross multiply
    8,226.64x = 11,352.09 × 4,689.19
  4. Step 4: Simplify right side
    8,226.64x = 53,232,106.91
  5. Step 5: Solve for x
    x = 53,232,106.91/8,226.64
  6. Step 6: Final answer
    x = 6,470.70

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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.