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Finding the Fourth Proportional to 8,342.14, 11,498.81 and 5,652.54

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Solution

The fourth proportional to 8,342.14, 11,498.81 and 5,652.54 is: 7,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.14 : 11,498.81 = 5,652.54 : x
  2. Step 2: Convert to fraction form
    8,342.14/11,498.81 = 5,652.54/x
  3. Step 3: Cross multiply
    8,342.14x = 11,498.81 × 5,652.54
  4. Step 4: Simplify right side
    8,342.14x = 64,997,483.48
  5. Step 5: Solve for x
    x = 64,997,483.48/8,342.14
  6. Step 6: Final answer
    x = 7,791.46

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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.