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Finding the Fourth Proportional to 8,553.76, 11,809.50 and 6,560.48

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Solution

The fourth proportional to 8,553.76, 11,809.50 and 6,560.48 is: 9,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.76 : 11,809.50 = 6,560.48 : x
  2. Step 2: Convert to fraction form
    8,553.76/11,809.50 = 6,560.48/x
  3. Step 3: Cross multiply
    8,553.76x = 11,809.50 × 6,560.48
  4. Step 4: Simplify right side
    8,553.76x = 77,475,988.56
  5. Step 5: Solve for x
    x = 77,475,988.56/8,553.76
  6. Step 6: Final answer
    x = 9,057.54

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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.