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Finding the Fourth Proportional to 7,774.37, 10,733.01 and 5,126.39

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Solution

The fourth proportional to 7,774.37, 10,733.01 and 5,126.39 is: 7,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.37 : 10,733.01 = 5,126.39 : x
  2. Step 2: Convert to fraction form
    7,774.37/10,733.01 = 5,126.39/x
  3. Step 3: Cross multiply
    7,774.37x = 10,733.01 × 5,126.39
  4. Step 4: Simplify right side
    7,774.37x = 55,021,562.49
  5. Step 5: Solve for x
    x = 55,021,562.49/7,774.37
  6. Step 6: Final answer
    x = 7,077.30

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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.