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Finding the Fourth Proportional to 7,566.75, 10,442.16 and 4,422.33

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Solution

The fourth proportional to 7,566.75, 10,442.16 and 4,422.33 is: 6,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.75 : 10,442.16 = 4,422.33 : x
  2. Step 2: Convert to fraction form
    7,566.75/10,442.16 = 4,422.33/x
  3. Step 3: Cross multiply
    7,566.75x = 10,442.16 × 4,422.33
  4. Step 4: Simplify right side
    7,566.75x = 46,178,677.43
  5. Step 5: Solve for x
    x = 46,178,677.43/7,566.75
  6. Step 6: Final answer
    x = 6,102.84

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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.