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Finding the Fourth Proportional to 7,204.80, 10,805.28 and 2,009.76

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Solution

The fourth proportional to 7,204.80, 10,805.28 and 2,009.76 is: 3,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.80 : 10,805.28 = 2,009.76 : x
  2. Step 2: Convert to fraction form
    7,204.80/10,805.28 = 2,009.76/x
  3. Step 3: Cross multiply
    7,204.80x = 10,805.28 × 2,009.76
  4. Step 4: Simplify right side
    7,204.80x = 21,716,019.53
  5. Step 5: Solve for x
    x = 21,716,019.53/7,204.80
  6. Step 6: Final answer
    x = 3,014.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.