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Finding the Fourth Proportional to 8,123.62, 11,207 and 4,764.72

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Solution

The fourth proportional to 8,123.62, 11,207 and 4,764.72 is: 6,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.62 : 11,207 = 4,764.72 : x
  2. Step 2: Convert to fraction form
    8,123.62/11,207 = 4,764.72/x
  3. Step 3: Cross multiply
    8,123.62x = 11,207 × 4,764.72
  4. Step 4: Simplify right side
    8,123.62x = 53,398,217.04
  5. Step 5: Solve for x
    x = 53,398,217.04/8,123.62
  6. Step 6: Final answer
    x = 6,573.20

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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.