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Finding the Fourth Proportional to 6,889.56, 10,320.18 and 4,661.40

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Solution

The fourth proportional to 6,889.56, 10,320.18 and 4,661.40 is: 6,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.56 : 10,320.18 = 4,661.40 : x
  2. Step 2: Convert to fraction form
    6,889.56/10,320.18 = 4,661.40/x
  3. Step 3: Cross multiply
    6,889.56x = 10,320.18 × 4,661.40
  4. Step 4: Simplify right side
    6,889.56x = 48,106,487.05
  5. Step 5: Solve for x
    x = 48,106,487.05/6,889.56
  6. Step 6: Final answer
    x = 6,982.52

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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.