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Finding the Fourth Proportional to 7,078.69, 10,616.64 and 6,727.45

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Solution

The fourth proportional to 7,078.69, 10,616.64 and 6,727.45 is: 10,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.69 : 10,616.64 = 6,727.45 : x
  2. Step 2: Convert to fraction form
    7,078.69/10,616.64 = 6,727.45/x
  3. Step 3: Cross multiply
    7,078.69x = 10,616.64 × 6,727.45
  4. Step 4: Simplify right side
    7,078.69x = 71,422,914.77
  5. Step 5: Solve for x
    x = 71,422,914.77/7,078.69
  6. Step 6: Final answer
    x = 10,089.85

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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.