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Finding the Fourth Proportional to 8,551.50, 11,799.63 and 5,714.31

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Solution

The fourth proportional to 8,551.50, 11,799.63 and 5,714.31 is: 7,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.50 : 11,799.63 = 5,714.31 : x
  2. Step 2: Convert to fraction form
    8,551.50/11,799.63 = 5,714.31/x
  3. Step 3: Cross multiply
    8,551.50x = 11,799.63 × 5,714.31
  4. Step 4: Simplify right side
    8,551.50x = 67,426,743.71
  5. Step 5: Solve for x
    x = 67,426,743.71/8,551.50
  6. Step 6: Final answer
    x = 7,884.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.