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Finding the Fourth Proportional to 11,052.74, 16,508.78 and 9,497.26

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Solution

The fourth proportional to 11,052.74, 16,508.78 and 9,497.26 is: 14,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.74 : 16,508.78 = 9,497.26 : x
  2. Step 2: Convert to fraction form
    11,052.74/16,508.78 = 9,497.26/x
  3. Step 3: Cross multiply
    11,052.74x = 16,508.78 × 9,497.26
  4. Step 4: Simplify right side
    11,052.74x = 156,788,175.94
  5. Step 5: Solve for x
    x = 156,788,175.94/11,052.74
  6. Step 6: Final answer
    x = 14,185.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.