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Finding the Fourth Proportional to 7,882,894.82, 10,883,773.76 and 5,098,766.77

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Solution

The fourth proportional to 7,882,894.82, 10,883,773.76 and 5,098,766.77 is: 7,039,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,894.82 : 10,883,773.76 = 5,098,766.77 : x
  2. Step 2: Convert to fraction form
    7,882,894.82/10,883,773.76 = 5,098,766.77/x
  3. Step 3: Cross multiply
    7,882,894.82x = 10,883,773.76 × 5,098,766.77
  4. Step 4: Simplify right side
    7,882,894.82x = 55,493,823,967,796.84
  5. Step 5: Solve for x
    x = 55,493,823,967,796.84/7,882,894.82
  6. Step 6: Final answer
    x = 7,039,777.29

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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.