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Finding the Fourth Proportional to 11,889.84, 16,407.75 and 6,853.74

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Solution

The fourth proportional to 11,889.84, 16,407.75 and 6,853.74 is: 9,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.84 : 16,407.75 = 6,853.74 : x
  2. Step 2: Convert to fraction form
    11,889.84/16,407.75 = 6,853.74/x
  3. Step 3: Cross multiply
    11,889.84x = 16,407.75 × 6,853.74
  4. Step 4: Simplify right side
    11,889.84x = 112,454,452.49
  5. Step 5: Solve for x
    x = 112,454,452.49/11,889.84
  6. Step 6: Final answer
    x = 9,458.03

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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.