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Finding the Fourth Proportional to 8,266.50, 11,408.58 and 5,123.70

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Solution

The fourth proportional to 8,266.50, 11,408.58 and 5,123.70 is: 7,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.50 : 11,408.58 = 5,123.70 : x
  2. Step 2: Convert to fraction form
    8,266.50/11,408.58 = 5,123.70/x
  3. Step 3: Cross multiply
    8,266.50x = 11,408.58 × 5,123.70
  4. Step 4: Simplify right side
    8,266.50x = 58,454,141.35
  5. Step 5: Solve for x
    x = 58,454,141.35/8,266.50
  6. Step 6: Final answer
    x = 7,071.21

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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.