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Finding the Fourth Proportional to 8,530.56, 11,772.90 and 4,946.85

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Solution

The fourth proportional to 8,530.56, 11,772.90 and 4,946.85 is: 6,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.56 : 11,772.90 = 4,946.85 : x
  2. Step 2: Convert to fraction form
    8,530.56/11,772.90 = 4,946.85/x
  3. Step 3: Cross multiply
    8,530.56x = 11,772.90 × 4,946.85
  4. Step 4: Simplify right side
    8,530.56x = 58,238,770.37
  5. Step 5: Solve for x
    x = 58,238,770.37/8,530.56
  6. Step 6: Final answer
    x = 6,827.07

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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.