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Finding the Fourth Proportional to 11,206.57, 15,464.16 and 6,491.16

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Solution

The fourth proportional to 11,206.57, 15,464.16 and 6,491.16 is: 8,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.57 : 15,464.16 = 6,491.16 : x
  2. Step 2: Convert to fraction form
    11,206.57/15,464.16 = 6,491.16/x
  3. Step 3: Cross multiply
    11,206.57x = 15,464.16 × 6,491.16
  4. Step 4: Simplify right side
    11,206.57x = 100,380,336.83
  5. Step 5: Solve for x
    x = 100,380,336.83/11,206.57
  6. Step 6: Final answer
    x = 8,957.28

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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.