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Finding the Fourth Proportional to 11,471.46, 17,207.28 and 4,545.96

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Solution

The fourth proportional to 11,471.46, 17,207.28 and 4,545.96 is: 6,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.46 : 17,207.28 = 4,545.96 : x
  2. Step 2: Convert to fraction form
    11,471.46/17,207.28 = 4,545.96/x
  3. Step 3: Cross multiply
    11,471.46x = 17,207.28 × 4,545.96
  4. Step 4: Simplify right side
    11,471.46x = 78,223,606.59
  5. Step 5: Solve for x
    x = 78,223,606.59/11,471.46
  6. Step 6: Final answer
    x = 6,818.98

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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.