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Finding the Fourth Proportional to 7,801.28, 10,765.23 and 4,443.98

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Solution

The fourth proportional to 7,801.28, 10,765.23 and 4,443.98 is: 6,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.28 : 10,765.23 = 4,443.98 : x
  2. Step 2: Convert to fraction form
    7,801.28/10,765.23 = 4,443.98/x
  3. Step 3: Cross multiply
    7,801.28x = 10,765.23 × 4,443.98
  4. Step 4: Simplify right side
    7,801.28x = 47,840,466.82
  5. Step 5: Solve for x
    x = 47,840,466.82/7,801.28
  6. Step 6: Final answer
    x = 6,132.39

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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.