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Finding the Fourth Proportional to 7,218.77, 10,828.77 and 2,024.65

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Solution

The fourth proportional to 7,218.77, 10,828.77 and 2,024.65 is: 3,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.77 : 10,828.77 = 2,024.65 : x
  2. Step 2: Convert to fraction form
    7,218.77/10,828.77 = 2,024.65/x
  3. Step 3: Cross multiply
    7,218.77x = 10,828.77 × 2,024.65
  4. Step 4: Simplify right side
    7,218.77x = 21,924,415.04
  5. Step 5: Solve for x
    x = 21,924,415.04/7,218.77
  6. Step 6: Final answer
    x = 3,037.14

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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.