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Finding the Fourth Proportional to 8,004.42, 11,022.08 and 7,536.85

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Solution

The fourth proportional to 8,004.42, 11,022.08 and 7,536.85 is: 10,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.42 : 11,022.08 = 7,536.85 : x
  2. Step 2: Convert to fraction form
    8,004.42/11,022.08 = 7,536.85/x
  3. Step 3: Cross multiply
    8,004.42x = 11,022.08 × 7,536.85
  4. Step 4: Simplify right side
    8,004.42x = 83,071,698.41
  5. Step 5: Solve for x
    x = 83,071,698.41/8,004.42
  6. Step 6: Final answer
    x = 10,378.23

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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.