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Finding the Fourth Proportional to 10,676.66, 14,734.14 and 6,200.14

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Solution

The fourth proportional to 10,676.66, 14,734.14 and 6,200.14 is: 8,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.66 : 14,734.14 = 6,200.14 : x
  2. Step 2: Convert to fraction form
    10,676.66/14,734.14 = 6,200.14/x
  3. Step 3: Cross multiply
    10,676.66x = 14,734.14 × 6,200.14
  4. Step 4: Simplify right side
    10,676.66x = 91,353,730.78
  5. Step 5: Solve for x
    x = 91,353,730.78/10,676.66
  6. Step 6: Final answer
    x = 8,556.40

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