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Finding the Fourth Proportional to 8,853.63, 13,285.91 and 3,659.50

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Solution

The fourth proportional to 8,853.63, 13,285.91 and 3,659.50 is: 5,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.63 : 13,285.91 = 3,659.50 : x
  2. Step 2: Convert to fraction form
    8,853.63/13,285.91 = 3,659.50/x
  3. Step 3: Cross multiply
    8,853.63x = 13,285.91 × 3,659.50
  4. Step 4: Simplify right side
    8,853.63x = 48,619,787.65
  5. Step 5: Solve for x
    x = 48,619,787.65/8,853.63
  6. Step 6: Final answer
    x = 5,491.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.