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Finding the Fourth Proportional to 7,811.97, 10,777.43 and 4,822.61

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Solution

The fourth proportional to 7,811.97, 10,777.43 and 4,822.61 is: 6,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.97 : 10,777.43 = 4,822.61 : x
  2. Step 2: Convert to fraction form
    7,811.97/10,777.43 = 4,822.61/x
  3. Step 3: Cross multiply
    7,811.97x = 10,777.43 × 4,822.61
  4. Step 4: Simplify right side
    7,811.97x = 51,975,341.69
  5. Step 5: Solve for x
    x = 51,975,341.69/7,811.97
  6. Step 6: Final answer
    x = 6,653.30

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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.