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Finding the Fourth Proportional to 11,991.16, 16,547.89 and 6,686.32

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Solution

The fourth proportional to 11,991.16, 16,547.89 and 6,686.32 is: 9,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.16 : 16,547.89 = 6,686.32 : x
  2. Step 2: Convert to fraction form
    11,991.16/16,547.89 = 6,686.32/x
  3. Step 3: Cross multiply
    11,991.16x = 16,547.89 × 6,686.32
  4. Step 4: Simplify right side
    11,991.16x = 110,644,487.86
  5. Step 5: Solve for x
    x = 110,644,487.86/11,991.16
  6. Step 6: Final answer
    x = 9,227.17

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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.