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Finding the Fourth Proportional to 11,677.93, 16,116.02 and 6,643.03

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Solution

The fourth proportional to 11,677.93, 16,116.02 and 6,643.03 is: 9,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.93 : 16,116.02 = 6,643.03 : x
  2. Step 2: Convert to fraction form
    11,677.93/16,116.02 = 6,643.03/x
  3. Step 3: Cross multiply
    11,677.93x = 16,116.02 × 6,643.03
  4. Step 4: Simplify right side
    11,677.93x = 107,059,244.63
  5. Step 5: Solve for x
    x = 107,059,244.63/11,677.93
  6. Step 6: Final answer
    x = 9,167.66

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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.