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Finding the Fourth Proportional to 10,676.61, 14,733.70 and 6,202.98

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Solution

The fourth proportional to 10,676.61, 14,733.70 and 6,202.98 is: 8,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.61 : 14,733.70 = 6,202.98 : x
  2. Step 2: Convert to fraction form
    10,676.61/14,733.70 = 6,202.98/x
  3. Step 3: Cross multiply
    10,676.61x = 14,733.70 × 6,202.98
  4. Step 4: Simplify right side
    10,676.61x = 91,392,830.92
  5. Step 5: Solve for x
    x = 91,392,830.92/10,676.61
  6. Step 6: Final answer
    x = 8,560.10

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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.