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Finding the Fourth Proportional to 7,810, 10,777.80 and 5,822.28

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Solution

The fourth proportional to 7,810, 10,777.80 and 5,822.28 is: 8,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 10,777.80 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    7,810/10,777.80 = 5,822.28/x
  3. Step 3: Cross multiply
    7,810x = 10,777.80 × 5,822.28
  4. Step 4: Simplify right side
    7,810x = 62,751,369.38
  5. Step 5: Solve for x
    x = 62,751,369.38/7,810
  6. Step 6: Final answer
    x = 8,034.75

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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.