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Finding the Fourth Proportional to 11,715.64, 16,159.62 and 6,998.20

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Solution

The fourth proportional to 11,715.64, 16,159.62 and 6,998.20 is: 9,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.64 : 16,159.62 = 6,998.20 : x
  2. Step 2: Convert to fraction form
    11,715.64/16,159.62 = 6,998.20/x
  3. Step 3: Cross multiply
    11,715.64x = 16,159.62 × 6,998.20
  4. Step 4: Simplify right side
    11,715.64x = 113,088,252.68
  5. Step 5: Solve for x
    x = 113,088,252.68/11,715.64
  6. Step 6: Final answer
    x = 9,652.76

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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.