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Finding the Fourth Proportional to 11,886.55, 16,407.09 and 6,854.12

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Solution

The fourth proportional to 11,886.55, 16,407.09 and 6,854.12 is: 9,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.55 : 16,407.09 = 6,854.12 : x
  2. Step 2: Convert to fraction form
    11,886.55/16,407.09 = 6,854.12/x
  3. Step 3: Cross multiply
    11,886.55x = 16,407.09 × 6,854.12
  4. Step 4: Simplify right side
    11,886.55x = 112,456,163.71
  5. Step 5: Solve for x
    x = 112,456,163.71/11,886.55
  6. Step 6: Final answer
    x = 9,460.79

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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.