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Finding the Fourth Proportional to 7,604.22, 10,498.65 and 5,218.20

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Solution

The fourth proportional to 7,604.22, 10,498.65 and 5,218.20 is: 7,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.22 : 10,498.65 = 5,218.20 : x
  2. Step 2: Convert to fraction form
    7,604.22/10,498.65 = 5,218.20/x
  3. Step 3: Cross multiply
    7,604.22x = 10,498.65 × 5,218.20
  4. Step 4: Simplify right side
    7,604.22x = 54,784,055.43
  5. Step 5: Solve for x
    x = 54,784,055.43/7,604.22
  6. Step 6: Final answer
    x = 7,204.43

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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.