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Finding the Fourth Proportional to 8,632.72, 11,905.77 and 5,948.22

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Solution

The fourth proportional to 8,632.72, 11,905.77 and 5,948.22 is: 8,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.72 : 11,905.77 = 5,948.22 : x
  2. Step 2: Convert to fraction form
    8,632.72/11,905.77 = 5,948.22/x
  3. Step 3: Cross multiply
    8,632.72x = 11,905.77 × 5,948.22
  4. Step 4: Simplify right side
    8,632.72x = 70,818,139.23
  5. Step 5: Solve for x
    x = 70,818,139.23/8,632.72
  6. Step 6: Final answer
    x = 8,203.46

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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.