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Finding the Fourth Proportional to 7,078.28, 10,616.00 and 6,727.01

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Solution

The fourth proportional to 7,078.28, 10,616.00 and 6,727.01 is: 10,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.28 : 10,616.00 = 6,727.01 : x
  2. Step 2: Convert to fraction form
    7,078.28/10,616.00 = 6,727.01/x
  3. Step 3: Cross multiply
    7,078.28x = 10,616.00 × 6,727.01
  4. Step 4: Simplify right side
    7,078.28x = 71,413,981.52
  5. Step 5: Solve for x
    x = 71,413,981.52/7,078.28
  6. Step 6: Final answer
    x = 10,089.17

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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.