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Finding the Fourth Proportional to 7,714.47, 11,571.63 and 2,169.36

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Solution

The fourth proportional to 7,714.47, 11,571.63 and 2,169.36 is: 3,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.47 : 11,571.63 = 2,169.36 : x
  2. Step 2: Convert to fraction form
    7,714.47/11,571.63 = 2,169.36/x
  3. Step 3: Cross multiply
    7,714.47x = 11,571.63 × 2,169.36
  4. Step 4: Simplify right side
    7,714.47x = 25,103,031.26
  5. Step 5: Solve for x
    x = 25,103,031.26/7,714.47
  6. Step 6: Final answer
    x = 3,254.02

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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.