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Finding the Fourth Proportional to 7,801.32, 10,765.26 and 4,817.20

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Solution

The fourth proportional to 7,801.32, 10,765.26 and 4,817.20 is: 6,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.32 : 10,765.26 = 4,817.20 : x
  2. Step 2: Convert to fraction form
    7,801.32/10,765.26 = 4,817.20/x
  3. Step 3: Cross multiply
    7,801.32x = 10,765.26 × 4,817.20
  4. Step 4: Simplify right side
    7,801.32x = 51,858,420.47
  5. Step 5: Solve for x
    x = 51,858,420.47/7,801.32
  6. Step 6: Final answer
    x = 6,647.39

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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.