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Finding the Fourth Proportional to 11,310.56, 16,950.02 and 9,635.96

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Solution

The fourth proportional to 11,310.56, 16,950.02 and 9,635.96 is: 14,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.56 : 16,950.02 = 9,635.96 : x
  2. Step 2: Convert to fraction form
    11,310.56/16,950.02 = 9,635.96/x
  3. Step 3: Cross multiply
    11,310.56x = 16,950.02 × 9,635.96
  4. Step 4: Simplify right side
    11,310.56x = 163,329,714.72
  5. Step 5: Solve for x
    x = 163,329,714.72/11,310.56
  6. Step 6: Final answer
    x = 14,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.