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Finding the Fourth Proportional to 7,361.68, 10,159.11 and 4,217.88

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Solution

The fourth proportional to 7,361.68, 10,159.11 and 4,217.88 is: 5,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.68 : 10,159.11 = 4,217.88 : x
  2. Step 2: Convert to fraction form
    7,361.68/10,159.11 = 4,217.88/x
  3. Step 3: Cross multiply
    7,361.68x = 10,159.11 × 4,217.88
  4. Step 4: Simplify right side
    7,361.68x = 42,849,906.89
  5. Step 5: Solve for x
    x = 42,849,906.89/7,361.68
  6. Step 6: Final answer
    x = 5,820.67

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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.