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Finding the Fourth Proportional to 7,566.68, 10,442.62 and 4,209.80

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Solution

The fourth proportional to 7,566.68, 10,442.62 and 4,209.80 is: 5,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.68 : 10,442.62 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    7,566.68/10,442.62 = 4,209.80/x
  3. Step 3: Cross multiply
    7,566.68x = 10,442.62 × 4,209.80
  4. Step 4: Simplify right side
    7,566.68x = 43,961,341.68
  5. Step 5: Solve for x
    x = 43,961,341.68/7,566.68
  6. Step 6: Final answer
    x = 5,809.86

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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.