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Finding the Fourth Proportional to 7,807.85, 10,774.78 and 4,450.80

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Solution

The fourth proportional to 7,807.85, 10,774.78 and 4,450.80 is: 6,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.85 : 10,774.78 = 4,450.80 : x
  2. Step 2: Convert to fraction form
    7,807.85/10,774.78 = 4,450.80/x
  3. Step 3: Cross multiply
    7,807.85x = 10,774.78 × 4,450.80
  4. Step 4: Simplify right side
    7,807.85x = 47,956,390.82
  5. Step 5: Solve for x
    x = 47,956,390.82/7,807.85
  6. Step 6: Final answer
    x = 6,142.07

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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.