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Finding the Fourth Proportional to 11,714.52, 17,569.74 and 3,923.30

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Solution

The fourth proportional to 11,714.52, 17,569.74 and 3,923.30 is: 5,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.52 : 17,569.74 = 3,923.30 : x
  2. Step 2: Convert to fraction form
    11,714.52/17,569.74 = 3,923.30/x
  3. Step 3: Cross multiply
    11,714.52x = 17,569.74 × 3,923.30
  4. Step 4: Simplify right side
    11,714.52x = 68,931,360.94
  5. Step 5: Solve for x
    x = 68,931,360.94/11,714.52
  6. Step 6: Final answer
    x = 5,884.27

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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.