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Finding the Fourth Proportional to 11,887.68, 16,403.68 and 6,581.17

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Solution

The fourth proportional to 11,887.68, 16,403.68 and 6,581.17 is: 9,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.68 : 16,403.68 = 6,581.17 : x
  2. Step 2: Convert to fraction form
    11,887.68/16,403.68 = 6,581.17/x
  3. Step 3: Cross multiply
    11,887.68x = 16,403.68 × 6,581.17
  4. Step 4: Simplify right side
    11,887.68x = 107,955,406.71
  5. Step 5: Solve for x
    x = 107,955,406.71/11,887.68
  6. Step 6: Final answer
    x = 9,081.28

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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.