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Finding the Fourth Proportional to 8,764.35, 13,146.53 and 2,353.02

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Solution

The fourth proportional to 8,764.35, 13,146.53 and 2,353.02 is: 3,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.35 : 13,146.53 = 2,353.02 : x
  2. Step 2: Convert to fraction form
    8,764.35/13,146.53 = 2,353.02/x
  3. Step 3: Cross multiply
    8,764.35x = 13,146.53 × 2,353.02
  4. Step 4: Simplify right side
    8,764.35x = 30,934,104.50
  5. Step 5: Solve for x
    x = 30,934,104.50/8,764.35
  6. Step 6: Final answer
    x = 3,529.54

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Why These Related Problems?

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