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Finding the Fourth Proportional to 6,706.71, 10,060.07 and 2,324.16

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Solution

The fourth proportional to 6,706.71, 10,060.07 and 2,324.16 is: 3,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.71 : 10,060.07 = 2,324.16 : x
  2. Step 2: Convert to fraction form
    6,706.71/10,060.07 = 2,324.16/x
  3. Step 3: Cross multiply
    6,706.71x = 10,060.07 × 2,324.16
  4. Step 4: Simplify right side
    6,706.71x = 23,381,200.67
  5. Step 5: Solve for x
    x = 23,381,200.67/6,706.71
  6. Step 6: Final answer
    x = 3,486.24

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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.