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Finding the Fourth Proportional to 7,208.68, 10,809.16 and 2,210.17

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Solution

The fourth proportional to 7,208.68, 10,809.16 and 2,210.17 is: 3,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.68 : 10,809.16 = 2,210.17 : x
  2. Step 2: Convert to fraction form
    7,208.68/10,809.16 = 2,210.17/x
  3. Step 3: Cross multiply
    7,208.68x = 10,809.16 × 2,210.17
  4. Step 4: Simplify right side
    7,208.68x = 23,890,081.16
  5. Step 5: Solve for x
    x = 23,890,081.16/7,208.68
  6. Step 6: Final answer
    x = 3,314.07

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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.