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Finding the Fourth Proportional to 7,566.35, 10,441.28 and 4,209.05

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Solution

The fourth proportional to 7,566.35, 10,441.28 and 4,209.05 is: 5,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.35 : 10,441.28 = 4,209.05 : x
  2. Step 2: Convert to fraction form
    7,566.35/10,441.28 = 4,209.05/x
  3. Step 3: Cross multiply
    7,566.35x = 10,441.28 × 4,209.05
  4. Step 4: Simplify right side
    7,566.35x = 43,947,874.64
  5. Step 5: Solve for x
    x = 43,947,874.64/7,566.35
  6. Step 6: Final answer
    x = 5,808.33

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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.