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Finding the Fourth Proportional to 11,677.25, 16,114.96 and 6,642.19

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Solution

The fourth proportional to 11,677.25, 16,114.96 and 6,642.19 is: 9,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.25 : 16,114.96 = 6,642.19 : x
  2. Step 2: Convert to fraction form
    11,677.25/16,114.96 = 6,642.19/x
  3. Step 3: Cross multiply
    11,677.25x = 16,114.96 × 6,642.19
  4. Step 4: Simplify right side
    11,677.25x = 107,038,626.16
  5. Step 5: Solve for x
    x = 107,038,626.16/11,677.25
  6. Step 6: Final answer
    x = 9,166.42

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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.