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Finding the Fourth Proportional to 6,687.66, 10,009.11 and 6,599.16

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Solution

The fourth proportional to 6,687.66, 10,009.11 and 6,599.16 is: 9,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.66 : 10,009.11 = 6,599.16 : x
  2. Step 2: Convert to fraction form
    6,687.66/10,009.11 = 6,599.16/x
  3. Step 3: Cross multiply
    6,687.66x = 10,009.11 × 6,599.16
  4. Step 4: Simplify right side
    6,687.66x = 66,051,724.38
  5. Step 5: Solve for x
    x = 66,051,724.38/6,687.66
  6. Step 6: Final answer
    x = 9,876.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.