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Finding the Fourth Proportional to 7,812.12, 10,782.99 and 4,456.74

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Solution

The fourth proportional to 7,812.12, 10,782.99 and 4,456.74 is: 6,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.12 : 10,782.99 = 4,456.74 : x
  2. Step 2: Convert to fraction form
    7,812.12/10,782.99 = 4,456.74/x
  3. Step 3: Cross multiply
    7,812.12x = 10,782.99 × 4,456.74
  4. Step 4: Simplify right side
    7,812.12x = 48,056,982.85
  5. Step 5: Solve for x
    x = 48,056,982.85/7,812.12
  6. Step 6: Final answer
    x = 6,151.59

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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.