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Finding the Fourth Proportional to 7,403.88, 10,217.46 and 4,216.80

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Solution

The fourth proportional to 7,403.88, 10,217.46 and 4,216.80 is: 5,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.88 : 10,217.46 = 4,216.80 : x
  2. Step 2: Convert to fraction form
    7,403.88/10,217.46 = 4,216.80/x
  3. Step 3: Cross multiply
    7,403.88x = 10,217.46 × 4,216.80
  4. Step 4: Simplify right side
    7,403.88x = 43,084,985.33
  5. Step 5: Solve for x
    x = 43,084,985.33/7,403.88
  6. Step 6: Final answer
    x = 5,819.24

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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.