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Finding the Fourth Proportional to 11,895.30, 16,414.38 and 6,858.54

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Solution

The fourth proportional to 11,895.30, 16,414.38 and 6,858.54 is: 9,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.30 : 16,414.38 = 6,858.54 : x
  2. Step 2: Convert to fraction form
    11,895.30/16,414.38 = 6,858.54/x
  3. Step 3: Cross multiply
    11,895.30x = 16,414.38 × 6,858.54
  4. Step 4: Simplify right side
    11,895.30x = 112,578,681.81
  5. Step 5: Solve for x
    x = 112,578,681.81/11,895.30
  6. Step 6: Final answer
    x = 9,464.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.