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Finding the Fourth Proportional to 11,224.64, 15,491.36 and 6,509.12

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Solution

The fourth proportional to 11,224.64, 15,491.36 and 6,509.12 is: 8,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.64 : 15,491.36 = 6,509.12 : x
  2. Step 2: Convert to fraction form
    11,224.64/15,491.36 = 6,509.12/x
  3. Step 3: Cross multiply
    11,224.64x = 15,491.36 × 6,509.12
  4. Step 4: Simplify right side
    11,224.64x = 100,835,121.20
  5. Step 5: Solve for x
    x = 100,835,121.20/11,224.64
  6. Step 6: Final answer
    x = 8,983.37

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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.