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Finding the Fourth Proportional to 8,234.64, 11,356.20 and 7,638.48

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Solution

The fourth proportional to 8,234.64, 11,356.20 and 7,638.48 is: 10,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.64 : 11,356.20 = 7,638.48 : x
  2. Step 2: Convert to fraction form
    8,234.64/11,356.20 = 7,638.48/x
  3. Step 3: Cross multiply
    8,234.64x = 11,356.20 × 7,638.48
  4. Step 4: Simplify right side
    8,234.64x = 86,744,106.58
  5. Step 5: Solve for x
    x = 86,744,106.58/8,234.64
  6. Step 6: Final answer
    x = 10,534.05

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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.