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Finding the Fourth Proportional to 7,206.47, 10,809.32 and 2,208.84

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Solution

The fourth proportional to 7,206.47, 10,809.32 and 2,208.84 is: 3,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.47 : 10,809.32 = 2,208.84 : x
  2. Step 2: Convert to fraction form
    7,206.47/10,809.32 = 2,208.84/x
  3. Step 3: Cross multiply
    7,206.47x = 10,809.32 × 2,208.84
  4. Step 4: Simplify right side
    7,206.47x = 23,876,047.34
  5. Step 5: Solve for x
    x = 23,876,047.34/7,206.47
  6. Step 6: Final answer
    x = 3,313.14

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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.