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Finding the Fourth Proportional to 7,714.02, 11,569.23 and 2,167.90

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Solution

The fourth proportional to 7,714.02, 11,569.23 and 2,167.90 is: 3,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.02 : 11,569.23 = 2,167.90 : x
  2. Step 2: Convert to fraction form
    7,714.02/11,569.23 = 2,167.90/x
  3. Step 3: Cross multiply
    7,714.02x = 11,569.23 × 2,167.90
  4. Step 4: Simplify right side
    7,714.02x = 25,080,933.72
  5. Step 5: Solve for x
    x = 25,080,933.72/7,714.02
  6. Step 6: Final answer
    x = 3,251.34

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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.