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Finding the Fourth Proportional to 6,706.84, 10,056.34 and 2,025.45

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Solution

The fourth proportional to 6,706.84, 10,056.34 and 2,025.45 is: 3,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.84 : 10,056.34 = 2,025.45 : x
  2. Step 2: Convert to fraction form
    6,706.84/10,056.34 = 2,025.45/x
  3. Step 3: Cross multiply
    6,706.84x = 10,056.34 × 2,025.45
  4. Step 4: Simplify right side
    6,706.84x = 20,368,613.85
  5. Step 5: Solve for x
    x = 20,368,613.85/6,706.84
  6. Step 6: Final answer
    x = 3,036.99

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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.