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Finding the Fourth Proportional to 10,689.46, 16,037.44 and 7,575.49

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Solution

The fourth proportional to 10,689.46, 16,037.44 and 7,575.49 is: 11,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.46 : 16,037.44 = 7,575.49 : x
  2. Step 2: Convert to fraction form
    10,689.46/16,037.44 = 7,575.49/x
  3. Step 3: Cross multiply
    10,689.46x = 16,037.44 × 7,575.49
  4. Step 4: Simplify right side
    10,689.46x = 121,491,466.35
  5. Step 5: Solve for x
    x = 121,491,466.35/10,689.46
  6. Step 6: Final answer
    x = 11,365.54

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