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Finding the Fourth Proportional to 6,680.18, 10,009.20 and 2,295.20

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Solution

The fourth proportional to 6,680.18, 10,009.20 and 2,295.20 is: 3,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.18 : 10,009.20 = 2,295.20 : x
  2. Step 2: Convert to fraction form
    6,680.18/10,009.20 = 2,295.20/x
  3. Step 3: Cross multiply
    6,680.18x = 10,009.20 × 2,295.20
  4. Step 4: Simplify right side
    6,680.18x = 22,973,115.84
  5. Step 5: Solve for x
    x = 22,973,115.84/6,680.18
  6. Step 6: Final answer
    x = 3,439.00

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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.