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Finding the Fourth Proportional to 11,678.53, 16,116.73 and 6,643.48

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Solution

The fourth proportional to 11,678.53, 16,116.73 and 6,643.48 is: 9,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.53 : 16,116.73 = 6,643.48 : x
  2. Step 2: Convert to fraction form
    11,678.53/16,116.73 = 6,643.48/x
  3. Step 3: Cross multiply
    11,678.53x = 16,116.73 × 6,643.48
  4. Step 4: Simplify right side
    11,678.53x = 107,071,173.42
  5. Step 5: Solve for x
    x = 107,071,173.42/11,678.53
  6. Step 6: Final answer
    x = 9,168.21

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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.