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Finding the Fourth Proportional to 8,295.22, 11,446.50 and 4,758.34

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Solution

The fourth proportional to 8,295.22, 11,446.50 and 4,758.34 is: 6,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.22 : 11,446.50 = 4,758.34 : x
  2. Step 2: Convert to fraction form
    8,295.22/11,446.50 = 4,758.34/x
  3. Step 3: Cross multiply
    8,295.22x = 11,446.50 × 4,758.34
  4. Step 4: Simplify right side
    8,295.22x = 54,466,338.81
  5. Step 5: Solve for x
    x = 54,466,338.81/8,295.22
  6. Step 6: Final answer
    x = 6,565.99

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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.