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Finding the Fourth Proportional to 7,814.00, 10,783.58 and 4,277.22

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Solution

The fourth proportional to 7,814.00, 10,783.58 and 4,277.22 is: 5,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.00 : 10,783.58 = 4,277.22 : x
  2. Step 2: Convert to fraction form
    7,814.00/10,783.58 = 4,277.22/x
  3. Step 3: Cross multiply
    7,814.00x = 10,783.58 × 4,277.22
  4. Step 4: Simplify right side
    7,814.00x = 46,123,722.66
  5. Step 5: Solve for x
    x = 46,123,722.66/7,814.00
  6. Step 6: Final answer
    x = 5,902.71

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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.