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Finding the Fourth Proportional to 7,011.02, 9,675.18 and 3,824.27

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Solution

The fourth proportional to 7,011.02, 9,675.18 and 3,824.27 is: 5,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.02 : 9,675.18 = 3,824.27 : x
  2. Step 2: Convert to fraction form
    7,011.02/9,675.18 = 3,824.27/x
  3. Step 3: Cross multiply
    7,011.02x = 9,675.18 × 3,824.27
  4. Step 4: Simplify right side
    7,011.02x = 37,000,487.26
  5. Step 5: Solve for x
    x = 37,000,487.26/7,011.02
  6. Step 6: Final answer
    x = 5,277.47

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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.