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Finding the Fourth Proportional to 7,277.98, 10,043.31 and 4,134.46

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Solution

The fourth proportional to 7,277.98, 10,043.31 and 4,134.46 is: 5,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.98 : 10,043.31 = 4,134.46 : x
  2. Step 2: Convert to fraction form
    7,277.98/10,043.31 = 4,134.46/x
  3. Step 3: Cross multiply
    7,277.98x = 10,043.31 × 4,134.46
  4. Step 4: Simplify right side
    7,277.98x = 41,523,663.46
  5. Step 5: Solve for x
    x = 41,523,663.46/7,277.98
  6. Step 6: Final answer
    x = 5,705.38

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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.