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Finding the Fourth Proportional to 10,727.82, 16,069.59 and 7,957.62

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Solution

The fourth proportional to 10,727.82, 16,069.59 and 7,957.62 is: 11,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.82 : 16,069.59 = 7,957.62 : x
  2. Step 2: Convert to fraction form
    10,727.82/16,069.59 = 7,957.62/x
  3. Step 3: Cross multiply
    10,727.82x = 16,069.59 × 7,957.62
  4. Step 4: Simplify right side
    10,727.82x = 127,875,690.78
  5. Step 5: Solve for x
    x = 127,875,690.78/10,727.82
  6. Step 6: Final answer
    x = 11,920.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.