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Finding the Fourth Proportional to 8,537.28, 11,782.40 and 5,003.48

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Solution

The fourth proportional to 8,537.28, 11,782.40 and 5,003.48 is: 6,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.28 : 11,782.40 = 5,003.48 : x
  2. Step 2: Convert to fraction form
    8,537.28/11,782.40 = 5,003.48/x
  3. Step 3: Cross multiply
    8,537.28x = 11,782.40 × 5,003.48
  4. Step 4: Simplify right side
    8,537.28x = 58,953,002.75
  5. Step 5: Solve for x
    x = 58,953,002.75/8,537.28
  6. Step 6: Final answer
    x = 6,905.36

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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.