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Finding the Fourth Proportional to 8,015.75, 12,013.14 and 4,310.00

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Solution

The fourth proportional to 8,015.75, 12,013.14 and 4,310.00 is: 6,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.75 : 12,013.14 = 4,310.00 : x
  2. Step 2: Convert to fraction form
    8,015.75/12,013.14 = 4,310.00/x
  3. Step 3: Cross multiply
    8,015.75x = 12,013.14 × 4,310.00
  4. Step 4: Simplify right side
    8,015.75x = 51,776,564.39
  5. Step 5: Solve for x
    x = 51,776,564.39/8,015.75
  6. Step 6: Final answer
    x = 6,459.36

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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.