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Finding the Fourth Proportional to 6,801.57, 10,203.17 and 4,167.86

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Solution

The fourth proportional to 6,801.57, 10,203.17 and 4,167.86 is: 6,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.57 : 10,203.17 = 4,167.86 : x
  2. Step 2: Convert to fraction form
    6,801.57/10,203.17 = 4,167.86/x
  3. Step 3: Cross multiply
    6,801.57x = 10,203.17 × 4,167.86
  4. Step 4: Simplify right side
    6,801.57x = 42,525,312.26
  5. Step 5: Solve for x
    x = 42,525,312.26/6,801.57
  6. Step 6: Final answer
    x = 6,252.28

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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.