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Finding the Fourth Proportional to 7,445.86, 11,168.43 and 2,828.50

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Solution

The fourth proportional to 7,445.86, 11,168.43 and 2,828.50 is: 4,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.86 : 11,168.43 = 2,828.50 : x
  2. Step 2: Convert to fraction form
    7,445.86/11,168.43 = 2,828.50/x
  3. Step 3: Cross multiply
    7,445.86x = 11,168.43 × 2,828.50
  4. Step 4: Simplify right side
    7,445.86x = 31,589,904.26
  5. Step 5: Solve for x
    x = 31,589,904.26/7,445.86
  6. Step 6: Final answer
    x = 4,242.61

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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.