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Finding the Fourth Proportional to 11,098.56, 16,653.30 and 7,832.64

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Solution

The fourth proportional to 11,098.56, 16,653.30 and 7,832.64 is: 11,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.56 : 16,653.30 = 7,832.64 : x
  2. Step 2: Convert to fraction form
    11,098.56/16,653.30 = 7,832.64/x
  3. Step 3: Cross multiply
    11,098.56x = 16,653.30 × 7,832.64
  4. Step 4: Simplify right side
    11,098.56x = 130,439,303.71
  5. Step 5: Solve for x
    x = 130,439,303.71/11,098.56
  6. Step 6: Final answer
    x = 11,752.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.