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Finding the Fourth Proportional to 8,269.06, 11,411.51 and 4,543.06

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Solution

The fourth proportional to 8,269.06, 11,411.51 and 4,543.06 is: 6,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.06 : 11,411.51 = 4,543.06 : x
  2. Step 2: Convert to fraction form
    8,269.06/11,411.51 = 4,543.06/x
  3. Step 3: Cross multiply
    8,269.06x = 11,411.51 × 4,543.06
  4. Step 4: Simplify right side
    8,269.06x = 51,843,174.62
  5. Step 5: Solve for x
    x = 51,843,174.62/8,269.06
  6. Step 6: Final answer
    x = 6,269.54

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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.