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Finding the Fourth Proportional to 11,889.74, 16,405.81 and 6,854.18

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Solution

The fourth proportional to 11,889.74, 16,405.81 and 6,854.18 is: 9,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.74 : 16,405.81 = 6,854.18 : x
  2. Step 2: Convert to fraction form
    11,889.74/16,405.81 = 6,854.18/x
  3. Step 3: Cross multiply
    11,889.74x = 16,405.81 × 6,854.18
  4. Step 4: Simplify right side
    11,889.74x = 112,448,275.62
  5. Step 5: Solve for x
    x = 112,448,275.62/11,889.74
  6. Step 6: Final answer
    x = 9,457.59

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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.