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Finding the Fourth Proportional to 7,011.42, 9,675.90 and 3,824.67

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Solution

The fourth proportional to 7,011.42, 9,675.90 and 3,824.67 is: 5,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.42 : 9,675.90 = 3,824.67 : x
  2. Step 2: Convert to fraction form
    7,011.42/9,675.90 = 3,824.67/x
  3. Step 3: Cross multiply
    7,011.42x = 9,675.90 × 3,824.67
  4. Step 4: Simplify right side
    7,011.42x = 37,007,124.45
  5. Step 5: Solve for x
    x = 37,007,124.45/7,011.42
  6. Step 6: Final answer
    x = 5,278.12

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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.