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Finding the Fourth Proportional to 10,771.67, 14,865.72 and 6,056.66

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Solution

The fourth proportional to 10,771.67, 14,865.72 and 6,056.66 is: 8,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.67 : 14,865.72 = 6,056.66 : x
  2. Step 2: Convert to fraction form
    10,771.67/14,865.72 = 6,056.66/x
  3. Step 3: Cross multiply
    10,771.67x = 14,865.72 × 6,056.66
  4. Step 4: Simplify right side
    10,771.67x = 90,036,611.70
  5. Step 5: Solve for x
    x = 90,036,611.70/10,771.67
  6. Step 6: Final answer
    x = 8,358.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.