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Finding the Fourth Proportional to 7,861.46, 11,792.93 and 2,596.50

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Solution

The fourth proportional to 7,861.46, 11,792.93 and 2,596.50 is: 3,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.46 : 11,792.93 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    7,861.46/11,792.93 = 2,596.50/x
  3. Step 3: Cross multiply
    7,861.46x = 11,792.93 × 2,596.50
  4. Step 4: Simplify right side
    7,861.46x = 30,620,329.76
  5. Step 5: Solve for x
    x = 30,620,329.76/7,861.46
  6. Step 6: Final answer
    x = 3,895.00

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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.