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Finding the Fourth Proportional to 8,123.11, 11,206.32 and 4,764.22

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Solution

The fourth proportional to 8,123.11, 11,206.32 and 4,764.22 is: 6,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.11 : 11,206.32 = 4,764.22 : x
  2. Step 2: Convert to fraction form
    8,123.11/11,206.32 = 4,764.22/x
  3. Step 3: Cross multiply
    8,123.11x = 11,206.32 × 4,764.22
  4. Step 4: Simplify right side
    8,123.11x = 53,389,373.87
  5. Step 5: Solve for x
    x = 53,389,373.87/8,123.11
  6. Step 6: Final answer
    x = 6,572.53

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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.