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Finding the Fourth Proportional to 10,052.58, 14,997.25 and 9,508.26

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Solution

The fourth proportional to 10,052.58, 14,997.25 and 9,508.26 is: 14,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.58 : 14,997.25 = 9,508.26 : x
  2. Step 2: Convert to fraction form
    10,052.58/14,997.25 = 9,508.26/x
  3. Step 3: Cross multiply
    10,052.58x = 14,997.25 × 9,508.26
  4. Step 4: Simplify right side
    10,052.58x = 142,597,752.29
  5. Step 5: Solve for x
    x = 142,597,752.29/10,052.58
  6. Step 6: Final answer
    x = 14,185.19

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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.