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Finding the Fourth Proportional to 8,470.83, 11,689.77 and 4,694.15

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Solution

The fourth proportional to 8,470.83, 11,689.77 and 4,694.15 is: 6,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.83 : 11,689.77 = 4,694.15 : x
  2. Step 2: Convert to fraction form
    8,470.83/11,689.77 = 4,694.15/x
  3. Step 3: Cross multiply
    8,470.83x = 11,689.77 × 4,694.15
  4. Step 4: Simplify right side
    8,470.83x = 54,873,554.27
  5. Step 5: Solve for x
    x = 54,873,554.27/8,470.83
  6. Step 6: Final answer
    x = 6,477.94

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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.