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Finding the Fourth Proportional to 7,714.44, 11,577.74 and 3,966.07

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Solution

The fourth proportional to 7,714.44, 11,577.74 and 3,966.07 is: 5,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.44 : 11,577.74 = 3,966.07 : x
  2. Step 2: Convert to fraction form
    7,714.44/11,577.74 = 3,966.07/x
  3. Step 3: Cross multiply
    7,714.44x = 11,577.74 × 3,966.07
  4. Step 4: Simplify right side
    7,714.44x = 45,918,127.28
  5. Step 5: Solve for x
    x = 45,918,127.28/7,714.44
  6. Step 6: Final answer
    x = 5,952.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.