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Finding the Fourth Proportional to 7,775.49, 10,730.16 and 4,238.69

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Solution

The fourth proportional to 7,775.49, 10,730.16 and 4,238.69 is: 5,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.49 : 10,730.16 = 4,238.69 : x
  2. Step 2: Convert to fraction form
    7,775.49/10,730.16 = 4,238.69/x
  3. Step 3: Cross multiply
    7,775.49x = 10,730.16 × 4,238.69
  4. Step 4: Simplify right side
    7,775.49x = 45,481,821.89
  5. Step 5: Solve for x
    x = 45,481,821.89/7,775.49
  6. Step 6: Final answer
    x = 5,849.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.