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Finding the Fourth Proportional to 8,342.37, 11,512.01 and 4,564.80

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Solution

The fourth proportional to 8,342.37, 11,512.01 and 4,564.80 is: 6,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.37 : 11,512.01 = 4,564.80 : x
  2. Step 2: Convert to fraction form
    8,342.37/11,512.01 = 4,564.80/x
  3. Step 3: Cross multiply
    8,342.37x = 11,512.01 × 4,564.80
  4. Step 4: Simplify right side
    8,342.37x = 52,550,034.66
  5. Step 5: Solve for x
    x = 52,550,034.66/8,342.37
  6. Step 6: Final answer
    x = 6,299.17

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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.