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Finding the Fourth Proportional to 7,031.80, 10,542.44 and 4,257.80

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Solution

The fourth proportional to 7,031.80, 10,542.44 and 4,257.80 is: 6,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.80 : 10,542.44 = 4,257.80 : x
  2. Step 2: Convert to fraction form
    7,031.80/10,542.44 = 4,257.80/x
  3. Step 3: Cross multiply
    7,031.80x = 10,542.44 × 4,257.80
  4. Step 4: Simplify right side
    7,031.80x = 44,887,558.96
  5. Step 5: Solve for x
    x = 44,887,558.96/7,031.80
  6. Step 6: Final answer
    x = 6,383.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.