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Finding the Fourth Proportional to 7,927.24, 11,866.02 and 5,289.56

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Solution

The fourth proportional to 7,927.24, 11,866.02 and 5,289.56 is: 7,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.24 : 11,866.02 = 5,289.56 : x
  2. Step 2: Convert to fraction form
    7,927.24/11,866.02 = 5,289.56/x
  3. Step 3: Cross multiply
    7,927.24x = 11,866.02 × 5,289.56
  4. Step 4: Simplify right side
    7,927.24x = 62,766,024.75
  5. Step 5: Solve for x
    x = 62,766,024.75/7,927.24
  6. Step 6: Final answer
    x = 7,917.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.