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Finding the Fourth Proportional to 11,496.94, 17,248.59 and 4,576.30

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Solution

The fourth proportional to 11,496.94, 17,248.59 and 4,576.30 is: 6,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 17,248.59 = 4,576.30 : x
  2. Step 2: Convert to fraction form
    11,496.94/17,248.59 = 4,576.30/x
  3. Step 3: Cross multiply
    11,496.94x = 17,248.59 × 4,576.30
  4. Step 4: Simplify right side
    11,496.94x = 78,934,722.42
  5. Step 5: Solve for x
    x = 78,934,722.42/11,496.94
  6. Step 6: Final answer
    x = 6,865.72

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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.