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Finding the Fourth Proportional to 7,203.25, 10,806.70 and 2,009.13

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Solution

The fourth proportional to 7,203.25, 10,806.70 and 2,009.13 is: 3,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.25 : 10,806.70 = 2,009.13 : x
  2. Step 2: Convert to fraction form
    7,203.25/10,806.70 = 2,009.13/x
  3. Step 3: Cross multiply
    7,203.25x = 10,806.70 × 2,009.13
  4. Step 4: Simplify right side
    7,203.25x = 21,712,065.17
  5. Step 5: Solve for x
    x = 21,712,065.17/7,203.25
  6. Step 6: Final answer
    x = 3,014.20

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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.