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Finding the Fourth Proportional to 8,776.53, 13,170 and 3,233.77

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Solution

The fourth proportional to 8,776.53, 13,170 and 3,233.77 is: 4,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776.53 : 13,170 = 3,233.77 : x
  2. Step 2: Convert to fraction form
    8,776.53/13,170 = 3,233.77/x
  3. Step 3: Cross multiply
    8,776.53x = 13,170 × 3,233.77
  4. Step 4: Simplify right side
    8,776.53x = 42,588,685.05
  5. Step 5: Solve for x
    x = 42,588,685.05/8,776.53
  6. Step 6: Final answer
    x = 4,852.56

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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.