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Finding the Fourth Proportional to 8,059, 12,095 and 4,164.52

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Solution

The fourth proportional to 8,059, 12,095 and 4,164.52 is: 6,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059 : 12,095 = 4,164.52 : x
  2. Step 2: Convert to fraction form
    8,059/12,095 = 4,164.52/x
  3. Step 3: Cross multiply
    8,059x = 12,095 × 4,164.52
  4. Step 4: Simplify right side
    8,059x = 50,369,869.40
  5. Step 5: Solve for x
    x = 50,369,869.40/8,059
  6. Step 6: Final answer
    x = 6,250.14

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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.