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Finding the Fourth Proportional to 7,321.86, 10,985.52 and 4,402.26

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Solution

The fourth proportional to 7,321.86, 10,985.52 and 4,402.26 is: 6,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.86 : 10,985.52 = 4,402.26 : x
  2. Step 2: Convert to fraction form
    7,321.86/10,985.52 = 4,402.26/x
  3. Step 3: Cross multiply
    7,321.86x = 10,985.52 × 4,402.26
  4. Step 4: Simplify right side
    7,321.86x = 48,361,115.28
  5. Step 5: Solve for x
    x = 48,361,115.28/7,321.86
  6. Step 6: Final answer
    x = 6,605.03

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Why These Related Problems?

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