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Finding the Fourth Proportional to 7,995.28, 11,023.68 and 6,574

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Solution

The fourth proportional to 7,995.28, 11,023.68 and 6,574 is: 9,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995.28 : 11,023.68 = 6,574 : x
  2. Step 2: Convert to fraction form
    7,995.28/11,023.68 = 6,574/x
  3. Step 3: Cross multiply
    7,995.28x = 11,023.68 × 6,574
  4. Step 4: Simplify right side
    7,995.28x = 72,469,672.32
  5. Step 5: Solve for x
    x = 72,469,672.32/7,995.28
  6. Step 6: Final answer
    x = 9,064.06

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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.