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Finding the Fourth Proportional to 7,204.62, 10,809.81 and 2,587.98

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Solution

The fourth proportional to 7,204.62, 10,809.81 and 2,587.98 is: 3,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.62 : 10,809.81 = 2,587.98 : x
  2. Step 2: Convert to fraction form
    7,204.62/10,809.81 = 2,587.98/x
  3. Step 3: Cross multiply
    7,204.62x = 10,809.81 × 2,587.98
  4. Step 4: Simplify right side
    7,204.62x = 27,975,572.08
  5. Step 5: Solve for x
    x = 27,975,572.08/7,204.62
  6. Step 6: Final answer
    x = 3,883.00

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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.