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Finding the Fourth Proportional to 11,689.93, 16,133.49 and 6,655.36

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Solution

The fourth proportional to 11,689.93, 16,133.49 and 6,655.36 is: 9,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.93 : 16,133.49 = 6,655.36 : x
  2. Step 2: Convert to fraction form
    11,689.93/16,133.49 = 6,655.36/x
  3. Step 3: Cross multiply
    11,689.93x = 16,133.49 × 6,655.36
  4. Step 4: Simplify right side
    11,689.93x = 107,374,184.01
  5. Step 5: Solve for x
    x = 107,374,184.01/11,689.93
  6. Step 6: Final answer
    x = 9,185.19

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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.