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Finding the Fourth Proportional to 7,202.79, 10,805.66 and 4,084.19

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Solution

The fourth proportional to 7,202.79, 10,805.66 and 4,084.19 is: 6,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.79 : 10,805.66 = 4,084.19 : x
  2. Step 2: Convert to fraction form
    7,202.79/10,805.66 = 4,084.19/x
  3. Step 3: Cross multiply
    7,202.79x = 10,805.66 × 4,084.19
  4. Step 4: Simplify right side
    7,202.79x = 44,132,349.90
  5. Step 5: Solve for x
    x = 44,132,349.90/7,202.79
  6. Step 6: Final answer
    x = 6,127.12

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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.