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Finding the Fourth Proportional to 8,549.85, 11,797.33 and 4,772.82

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Solution

The fourth proportional to 8,549.85, 11,797.33 and 4,772.82 is: 6,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.85 : 11,797.33 = 4,772.82 : x
  2. Step 2: Convert to fraction form
    8,549.85/11,797.33 = 4,772.82/x
  3. Step 3: Cross multiply
    8,549.85x = 11,797.33 × 4,772.82
  4. Step 4: Simplify right side
    8,549.85x = 56,306,508.71
  5. Step 5: Solve for x
    x = 56,306,508.71/8,549.85
  6. Step 6: Final answer
    x = 6,585.67

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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.