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Finding the Fourth Proportional to 8,068.50, 12,102.75 and 2,596.50

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Solution

The fourth proportional to 8,068.50, 12,102.75 and 2,596.50 is: 3,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.50 : 12,102.75 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    8,068.50/12,102.75 = 2,596.50/x
  3. Step 3: Cross multiply
    8,068.50x = 12,102.75 × 2,596.50
  4. Step 4: Simplify right side
    8,068.50x = 31,424,790.38
  5. Step 5: Solve for x
    x = 31,424,790.38/8,068.50
  6. Step 6: Final answer
    x = 3,894.75

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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.