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Finding the Fourth Proportional to 7,011.49, 9,675.86 and 3,824.79

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Solution

The fourth proportional to 7,011.49, 9,675.86 and 3,824.79 is: 5,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.49 : 9,675.86 = 3,824.79 : x
  2. Step 2: Convert to fraction form
    7,011.49/9,675.86 = 3,824.79/x
  3. Step 3: Cross multiply
    7,011.49x = 9,675.86 × 3,824.79
  4. Step 4: Simplify right side
    7,011.49x = 37,008,113.45
  5. Step 5: Solve for x
    x = 37,008,113.45/7,011.49
  6. Step 6: Final answer
    x = 5,278.21

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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.