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Finding the Fourth Proportional to 7,566.39, 10,442.08 and 4,209.80

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Solution

The fourth proportional to 7,566.39, 10,442.08 and 4,209.80 is: 5,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.39 : 10,442.08 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    7,566.39/10,442.08 = 4,209.80/x
  3. Step 3: Cross multiply
    7,566.39x = 10,442.08 × 4,209.80
  4. Step 4: Simplify right side
    7,566.39x = 43,959,021.44
  5. Step 5: Solve for x
    x = 43,959,021.44/7,566.39
  6. Step 6: Final answer
    x = 5,809.77

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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.