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Finding the Fourth Proportional to 8,009.50, 12,014.58 and 2,748.13

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Solution

The fourth proportional to 8,009.50, 12,014.58 and 2,748.13 is: 4,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.50 : 12,014.58 = 2,748.13 : x
  2. Step 2: Convert to fraction form
    8,009.50/12,014.58 = 2,748.13/x
  3. Step 3: Cross multiply
    8,009.50x = 12,014.58 × 2,748.13
  4. Step 4: Simplify right side
    8,009.50x = 33,017,577.89
  5. Step 5: Solve for x
    x = 33,017,577.89/8,009.50
  6. Step 6: Final answer
    x = 4,122.30

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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.