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Finding the Fourth Proportional to 8,114.50, 12,171.68 and 4,415.89

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Solution

The fourth proportional to 8,114.50, 12,171.68 and 4,415.89 is: 6,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.50 : 12,171.68 = 4,415.89 : x
  2. Step 2: Convert to fraction form
    8,114.50/12,171.68 = 4,415.89/x
  3. Step 3: Cross multiply
    8,114.50x = 12,171.68 × 4,415.89
  4. Step 4: Simplify right side
    8,114.50x = 53,748,800.00
  5. Step 5: Solve for x
    x = 53,748,800.00/8,114.50
  6. Step 6: Final answer
    x = 6,623.80

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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.