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Finding the Fourth Proportional to 7,862.86, 11,792.64 and 2,314.72

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Solution

The fourth proportional to 7,862.86, 11,792.64 and 2,314.72 is: 3,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.86 : 11,792.64 = 2,314.72 : x
  2. Step 2: Convert to fraction form
    7,862.86/11,792.64 = 2,314.72/x
  3. Step 3: Cross multiply
    7,862.86x = 11,792.64 × 2,314.72
  4. Step 4: Simplify right side
    7,862.86x = 27,296,659.66
  5. Step 5: Solve for x
    x = 27,296,659.66/7,862.86
  6. Step 6: Final answer
    x = 3,471.59

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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.