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Finding the Fourth Proportional to 7,568.34, 10,444.10 and 4,211.16

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Solution

The fourth proportional to 7,568.34, 10,444.10 and 4,211.16 is: 5,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.34 : 10,444.10 = 4,211.16 : x
  2. Step 2: Convert to fraction form
    7,568.34/10,444.10 = 4,211.16/x
  3. Step 3: Cross multiply
    7,568.34x = 10,444.10 × 4,211.16
  4. Step 4: Simplify right side
    7,568.34x = 43,981,776.16
  5. Step 5: Solve for x
    x = 43,981,776.16/7,568.34
  6. Step 6: Final answer
    x = 5,811.28

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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.