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Finding the Fourth Proportional to 8,484.80, 12,723.60 and 4,103.60

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Solution

The fourth proportional to 8,484.80, 12,723.60 and 4,103.60 is: 6,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.80 : 12,723.60 = 4,103.60 : x
  2. Step 2: Convert to fraction form
    8,484.80/12,723.60 = 4,103.60/x
  3. Step 3: Cross multiply
    8,484.80x = 12,723.60 × 4,103.60
  4. Step 4: Simplify right side
    8,484.80x = 52,212,564.96
  5. Step 5: Solve for x
    x = 52,212,564.96/8,484.80
  6. Step 6: Final answer
    x = 6,153.66

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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.