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Finding the Fourth Proportional to 10,308.89, 14,222.38 and 6,060.14

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Solution

The fourth proportional to 10,308.89, 14,222.38 and 6,060.14 is: 8,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.89 : 14,222.38 = 6,060.14 : x
  2. Step 2: Convert to fraction form
    10,308.89/14,222.38 = 6,060.14/x
  3. Step 3: Cross multiply
    10,308.89x = 14,222.38 × 6,060.14
  4. Step 4: Simplify right side
    10,308.89x = 86,189,613.93
  5. Step 5: Solve for x
    x = 86,189,613.93/10,308.89
  6. Step 6: Final answer
    x = 8,360.71

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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.