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Finding the Fourth Proportional to 7,566.46, 10,441.10 and 4,209.28

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Solution

The fourth proportional to 7,566.46, 10,441.10 and 4,209.28 is: 5,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.46 : 10,441.10 = 4,209.28 : x
  2. Step 2: Convert to fraction form
    7,566.46/10,441.10 = 4,209.28/x
  3. Step 3: Cross multiply
    7,566.46x = 10,441.10 × 4,209.28
  4. Step 4: Simplify right side
    7,566.46x = 43,949,513.41
  5. Step 5: Solve for x
    x = 43,949,513.41/7,566.46
  6. Step 6: Final answer
    x = 5,808.46

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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.