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Finding the Fourth Proportional to 7,833.78, 11,754.18 and 4,277.07

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Solution

The fourth proportional to 7,833.78, 11,754.18 and 4,277.07 is: 6,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.78 : 11,754.18 = 4,277.07 : x
  2. Step 2: Convert to fraction form
    7,833.78/11,754.18 = 4,277.07/x
  3. Step 3: Cross multiply
    7,833.78x = 11,754.18 × 4,277.07
  4. Step 4: Simplify right side
    7,833.78x = 50,273,450.65
  5. Step 5: Solve for x
    x = 50,273,450.65/7,833.78
  6. Step 6: Final answer
    x = 6,417.52

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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.