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Finding the Fourth Proportional to 7,106.72, 10,653.99 and 2,727.32

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Solution

The fourth proportional to 7,106.72, 10,653.99 and 2,727.32 is: 4,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.72 : 10,653.99 = 2,727.32 : x
  2. Step 2: Convert to fraction form
    7,106.72/10,653.99 = 2,727.32/x
  3. Step 3: Cross multiply
    7,106.72x = 10,653.99 × 2,727.32
  4. Step 4: Simplify right side
    7,106.72x = 29,056,786.74
  5. Step 5: Solve for x
    x = 29,056,786.74/7,106.72
  6. Step 6: Final answer
    x = 4,088.64

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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.