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Finding the Fourth Proportional to 6,529.59, 9,782.10 and 5,496.30

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Solution

The fourth proportional to 6,529.59, 9,782.10 and 5,496.30 is: 8,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.59 : 9,782.10 = 5,496.30 : x
  2. Step 2: Convert to fraction form
    6,529.59/9,782.10 = 5,496.30/x
  3. Step 3: Cross multiply
    6,529.59x = 9,782.10 × 5,496.30
  4. Step 4: Simplify right side
    6,529.59x = 53,765,356.23
  5. Step 5: Solve for x
    x = 53,765,356.23/6,529.59
  6. Step 6: Final answer
    x = 8,234.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.