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Finding the Fourth Proportional to 6,357.24, 8,765.82 and 5,203.80

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Solution

The fourth proportional to 6,357.24, 8,765.82 and 5,203.80 is: 7,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.24 : 8,765.82 = 5,203.80 : x
  2. Step 2: Convert to fraction form
    6,357.24/8,765.82 = 5,203.80/x
  3. Step 3: Cross multiply
    6,357.24x = 8,765.82 × 5,203.80
  4. Step 4: Simplify right side
    6,357.24x = 45,615,574.12
  5. Step 5: Solve for x
    x = 45,615,574.12/6,357.24
  6. Step 6: Final answer
    x = 7,175.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.