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Finding the Fourth Proportional to 6,521.56, 9,755.58 and 5,427.40

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Solution

The fourth proportional to 6,521.56, 9,755.58 and 5,427.40 is: 8,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.56 : 9,755.58 = 5,427.40 : x
  2. Step 2: Convert to fraction form
    6,521.56/9,755.58 = 5,427.40/x
  3. Step 3: Cross multiply
    6,521.56x = 9,755.58 × 5,427.40
  4. Step 4: Simplify right side
    6,521.56x = 52,947,434.89
  5. Step 5: Solve for x
    x = 52,947,434.89/6,521.56
  6. Step 6: Final answer
    x = 8,118.83

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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.