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Finding the Fourth Proportional to 10,661.42, 14,716.82 and 8,016.51

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Solution

The fourth proportional to 10,661.42, 14,716.82 and 8,016.51 is: 11,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.42 : 14,716.82 = 8,016.51 : x
  2. Step 2: Convert to fraction form
    10,661.42/14,716.82 = 8,016.51/x
  3. Step 3: Cross multiply
    10,661.42x = 14,716.82 × 8,016.51
  4. Step 4: Simplify right side
    10,661.42x = 117,977,494.62
  5. Step 5: Solve for x
    x = 117,977,494.62/10,661.42
  6. Step 6: Final answer
    x = 11,065.84

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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.