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Finding the Fourth Proportional to 7,781.44, 10,743.65 and 5,985.73

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Solution

The fourth proportional to 7,781.44, 10,743.65 and 5,985.73 is: 8,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.44 : 10,743.65 = 5,985.73 : x
  2. Step 2: Convert to fraction form
    7,781.44/10,743.65 = 5,985.73/x
  3. Step 3: Cross multiply
    7,781.44x = 10,743.65 × 5,985.73
  4. Step 4: Simplify right side
    7,781.44x = 64,308,588.11
  5. Step 5: Solve for x
    x = 64,308,588.11/7,781.44
  6. Step 6: Final answer
    x = 8,264.36

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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.