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Finding the Fourth Proportional to 8,266.25, 11,408.03 and 5,123.05

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Solution

The fourth proportional to 8,266.25, 11,408.03 and 5,123.05 is: 7,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.25 : 11,408.03 = 5,123.05 : x
  2. Step 2: Convert to fraction form
    8,266.25/11,408.03 = 5,123.05/x
  3. Step 3: Cross multiply
    8,266.25x = 11,408.03 × 5,123.05
  4. Step 4: Simplify right side
    8,266.25x = 58,443,908.09
  5. Step 5: Solve for x
    x = 58,443,908.09/8,266.25
  6. Step 6: Final answer
    x = 7,070.18

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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.