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Finding the Fourth Proportional to 10,706.65, 16,061.93 and 3,310.61

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Solution

The fourth proportional to 10,706.65, 16,061.93 and 3,310.61 is: 4,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.65 : 16,061.93 = 3,310.61 : x
  2. Step 2: Convert to fraction form
    10,706.65/16,061.93 = 3,310.61/x
  3. Step 3: Cross multiply
    10,706.65x = 16,061.93 × 3,310.61
  4. Step 4: Simplify right side
    10,706.65x = 53,174,701.63
  5. Step 5: Solve for x
    x = 53,174,701.63/10,706.65
  6. Step 6: Final answer
    x = 4,966.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.