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Finding the Fourth Proportional to 7,566.90, 10,442.17 and 4,209.70

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Solution

The fourth proportional to 7,566.90, 10,442.17 and 4,209.70 is: 5,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.90 : 10,442.17 = 4,209.70 : x
  2. Step 2: Convert to fraction form
    7,566.90/10,442.17 = 4,209.70/x
  3. Step 3: Cross multiply
    7,566.90x = 10,442.17 × 4,209.70
  4. Step 4: Simplify right side
    7,566.90x = 43,958,413.62
  5. Step 5: Solve for x
    x = 43,958,413.62/7,566.90
  6. Step 6: Final answer
    x = 5,809.31

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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.