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Finding the Fourth Proportional to 8,490.16, 11,716.54 and 4,662.11

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Solution

The fourth proportional to 8,490.16, 11,716.54 and 4,662.11 is: 6,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.16 : 11,716.54 = 4,662.11 : x
  2. Step 2: Convert to fraction form
    8,490.16/11,716.54 = 4,662.11/x
  3. Step 3: Cross multiply
    8,490.16x = 11,716.54 × 4,662.11
  4. Step 4: Simplify right side
    8,490.16x = 54,623,798.30
  5. Step 5: Solve for x
    x = 54,623,798.30/8,490.16
  6. Step 6: Final answer
    x = 6,433.78

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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.