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Finding the Fourth Proportional to 8,546.09, 11,793.19 and 6,307.14

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Solution

The fourth proportional to 8,546.09, 11,793.19 and 6,307.14 is: 8,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.09 : 11,793.19 = 6,307.14 : x
  2. Step 2: Convert to fraction form
    8,546.09/11,793.19 = 6,307.14/x
  3. Step 3: Cross multiply
    8,546.09x = 11,793.19 × 6,307.14
  4. Step 4: Simplify right side
    8,546.09x = 74,381,300.38
  5. Step 5: Solve for x
    x = 74,381,300.38/8,546.09
  6. Step 6: Final answer
    x = 8,703.55

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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.