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Finding the Fourth Proportional to 7,817.96, 10,786.44 and 4,834.76

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Solution

The fourth proportional to 7,817.96, 10,786.44 and 4,834.76 is: 6,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.96 : 10,786.44 = 4,834.76 : x
  2. Step 2: Convert to fraction form
    7,817.96/10,786.44 = 4,834.76/x
  3. Step 3: Cross multiply
    7,817.96x = 10,786.44 × 4,834.76
  4. Step 4: Simplify right side
    7,817.96x = 52,149,812.85
  5. Step 5: Solve for x
    x = 52,149,812.85/7,817.96
  6. Step 6: Final answer
    x = 6,670.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.