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Finding the Fourth Proportional to 11,891.71, 16,409.01 and 6,856.12

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Solution

The fourth proportional to 11,891.71, 16,409.01 and 6,856.12 is: 9,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.71 : 16,409.01 = 6,856.12 : x
  2. Step 2: Convert to fraction form
    11,891.71/16,409.01 = 6,856.12/x
  3. Step 3: Cross multiply
    11,891.71x = 16,409.01 × 6,856.12
  4. Step 4: Simplify right side
    11,891.71x = 112,502,141.64
  5. Step 5: Solve for x
    x = 112,502,141.64/11,891.71
  6. Step 6: Final answer
    x = 9,460.55

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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.