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Finding the Fourth Proportional to 11,860.62, 16,365.33 and 7,145.16

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Solution

The fourth proportional to 11,860.62, 16,365.33 and 7,145.16 is: 9,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.62 : 16,365.33 = 7,145.16 : x
  2. Step 2: Convert to fraction form
    11,860.62/16,365.33 = 7,145.16/x
  3. Step 3: Cross multiply
    11,860.62x = 16,365.33 × 7,145.16
  4. Step 4: Simplify right side
    11,860.62x = 116,932,901.30
  5. Step 5: Solve for x
    x = 116,932,901.30/11,860.62
  6. Step 6: Final answer
    x = 9,858.92

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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.