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Finding the Fourth Proportional to 10,635.41, 14,676.63 and 6,658.72

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Solution

The fourth proportional to 10,635.41, 14,676.63 and 6,658.72 is: 9,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.41 : 14,676.63 = 6,658.72 : x
  2. Step 2: Convert to fraction form
    10,635.41/14,676.63 = 6,658.72/x
  3. Step 3: Cross multiply
    10,635.41x = 14,676.63 × 6,658.72
  4. Step 4: Simplify right side
    10,635.41x = 97,727,508.05
  5. Step 5: Solve for x
    x = 97,727,508.05/10,635.41
  6. Step 6: Final answer
    x = 9,188.88

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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.