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Finding the Fourth Proportional to 10,570.80, 14,587.97 and 5,791.01

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Solution

The fourth proportional to 10,570.80, 14,587.97 and 5,791.01 is: 7,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.80 : 14,587.97 = 5,791.01 : x
  2. Step 2: Convert to fraction form
    10,570.80/14,587.97 = 5,791.01/x
  3. Step 3: Cross multiply
    10,570.80x = 14,587.97 × 5,791.01
  4. Step 4: Simplify right side
    10,570.80x = 84,478,978.25
  5. Step 5: Solve for x
    x = 84,478,978.25/10,570.80
  6. Step 6: Final answer
    x = 7,991.73

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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.