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Finding the Fourth Proportional to 11,143.72, 16,714.38 and 4,569.40

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Solution

The fourth proportional to 11,143.72, 16,714.38 and 4,569.40 is: 6,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.72 : 16,714.38 = 4,569.40 : x
  2. Step 2: Convert to fraction form
    11,143.72/16,714.38 = 4,569.40/x
  3. Step 3: Cross multiply
    11,143.72x = 16,714.38 × 4,569.40
  4. Step 4: Simplify right side
    11,143.72x = 76,374,687.97
  5. Step 5: Solve for x
    x = 76,374,687.97/11,143.72
  6. Step 6: Final answer
    x = 6,853.61

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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.