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Finding the Fourth Proportional to 8,059.50, 12,094.72 and 2,865.38

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Solution

The fourth proportional to 8,059.50, 12,094.72 and 2,865.38 is: 4,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.50 : 12,094.72 = 2,865.38 : x
  2. Step 2: Convert to fraction form
    8,059.50/12,094.72 = 2,865.38/x
  3. Step 3: Cross multiply
    8,059.50x = 12,094.72 × 2,865.38
  4. Step 4: Simplify right side
    8,059.50x = 34,655,901.16
  5. Step 5: Solve for x
    x = 34,655,901.16/8,059.50
  6. Step 6: Final answer
    x = 4,300.01

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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.