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Finding the Fourth Proportional to 8,059, 12,088.50 and 2,865.08

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Solution

The fourth proportional to 8,059, 12,088.50 and 2,865.08 is: 4,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059 : 12,088.50 = 2,865.08 : x
  2. Step 2: Convert to fraction form
    8,059/12,088.50 = 2,865.08/x
  3. Step 3: Cross multiply
    8,059x = 12,088.50 × 2,865.08
  4. Step 4: Simplify right side
    8,059x = 34,634,519.58
  5. Step 5: Solve for x
    x = 34,634,519.58/8,059
  6. Step 6: Final answer
    x = 4,297.62

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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.