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Finding the Fourth Proportional to 7,814.76, 11,723.94 and 2,620.50

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Solution

The fourth proportional to 7,814.76, 11,723.94 and 2,620.50 is: 3,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.76 : 11,723.94 = 2,620.50 : x
  2. Step 2: Convert to fraction form
    7,814.76/11,723.94 = 2,620.50/x
  3. Step 3: Cross multiply
    7,814.76x = 11,723.94 × 2,620.50
  4. Step 4: Simplify right side
    7,814.76x = 30,722,584.77
  5. Step 5: Solve for x
    x = 30,722,584.77/7,814.76
  6. Step 6: Final answer
    x = 3,931.35

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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.