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Finding the Fourth Proportional to 7,850.72, 11,775.92 and 2,303.94

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Solution

The fourth proportional to 7,850.72, 11,775.92 and 2,303.94 is: 3,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.72 : 11,775.92 = 2,303.94 : x
  2. Step 2: Convert to fraction form
    7,850.72/11,775.92 = 2,303.94/x
  3. Step 3: Cross multiply
    7,850.72x = 11,775.92 × 2,303.94
  4. Step 4: Simplify right side
    7,850.72x = 27,131,001.61
  5. Step 5: Solve for x
    x = 27,131,001.61/7,850.72
  6. Step 6: Final answer
    x = 3,455.86

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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.