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Finding the Fourth Proportional to 8,059.78, 12,094.53 and 2,865.25

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Solution

The fourth proportional to 8,059.78, 12,094.53 and 2,865.25 is: 4,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.78 : 12,094.53 = 2,865.25 : x
  2. Step 2: Convert to fraction form
    8,059.78/12,094.53 = 2,865.25/x
  3. Step 3: Cross multiply
    8,059.78x = 12,094.53 × 2,865.25
  4. Step 4: Simplify right side
    8,059.78x = 34,653,852.08
  5. Step 5: Solve for x
    x = 34,653,852.08/8,059.78
  6. Step 6: Final answer
    x = 4,299.60

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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.