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Finding the Fourth Proportional to 7,294.77, 10,056.29 and 5,195.25

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Solution

The fourth proportional to 7,294.77, 10,056.29 and 5,195.25 is: 7,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.77 : 10,056.29 = 5,195.25 : x
  2. Step 2: Convert to fraction form
    7,294.77/10,056.29 = 5,195.25/x
  3. Step 3: Cross multiply
    7,294.77x = 10,056.29 × 5,195.25
  4. Step 4: Simplify right side
    7,294.77x = 52,244,914.65
  5. Step 5: Solve for x
    x = 52,244,914.65/7,294.77
  6. Step 6: Final answer
    x = 7,161.97

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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.