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Finding the Fourth Proportional to 11,264.91, 15,545.76 and 6,229.08

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Solution

The fourth proportional to 11,264.91, 15,545.76 and 6,229.08 is: 8,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.91 : 15,545.76 = 6,229.08 : x
  2. Step 2: Convert to fraction form
    11,264.91/15,545.76 = 6,229.08/x
  3. Step 3: Cross multiply
    11,264.91x = 15,545.76 × 6,229.08
  4. Step 4: Simplify right side
    11,264.91x = 96,835,782.70
  5. Step 5: Solve for x
    x = 96,835,782.70/11,264.91
  6. Step 6: Final answer
    x = 8,596.23

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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.