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Finding the Fourth Proportional to 11,653.80, 16,084.50 and 6,618.21

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Solution

The fourth proportional to 11,653.80, 16,084.50 and 6,618.21 is: 9,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.80 : 16,084.50 = 6,618.21 : x
  2. Step 2: Convert to fraction form
    11,653.80/16,084.50 = 6,618.21/x
  3. Step 3: Cross multiply
    11,653.80x = 16,084.50 × 6,618.21
  4. Step 4: Simplify right side
    11,653.80x = 106,450,598.75
  5. Step 5: Solve for x
    x = 106,450,598.75/11,653.80
  6. Step 6: Final answer
    x = 9,134.41

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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.