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Finding the Fourth Proportional to 11,807.21, 16,288.69 and 7,977.62

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Solution

The fourth proportional to 11,807.21, 16,288.69 and 7,977.62 is: 11,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.21 : 16,288.69 = 7,977.62 : x
  2. Step 2: Convert to fraction form
    11,807.21/16,288.69 = 7,977.62/x
  3. Step 3: Cross multiply
    11,807.21x = 16,288.69 × 7,977.62
  4. Step 4: Simplify right side
    11,807.21x = 129,944,979.12
  5. Step 5: Solve for x
    x = 129,944,979.12/11,807.21
  6. Step 6: Final answer
    x = 11,005.56

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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.