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Finding the Fourth Proportional to 7,846.20, 11,812.05 and 6,774.84

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Solution

The fourth proportional to 7,846.20, 11,812.05 and 6,774.84 is: 10,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.20 : 11,812.05 = 6,774.84 : x
  2. Step 2: Convert to fraction form
    7,846.20/11,812.05 = 6,774.84/x
  3. Step 3: Cross multiply
    7,846.20x = 11,812.05 × 6,774.84
  4. Step 4: Simplify right side
    7,846.20x = 80,024,748.82
  5. Step 5: Solve for x
    x = 80,024,748.82/7,846.20
  6. Step 6: Final answer
    x = 10,199.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.