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Finding the Fourth Proportional to 6,751.50, 10,078.40 and 5,832.96

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Solution

The fourth proportional to 6,751.50, 10,078.40 and 5,832.96 is: 8,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 10,078.40 = 5,832.96 : x
  2. Step 2: Convert to fraction form
    6,751.50/10,078.40 = 5,832.96/x
  3. Step 3: Cross multiply
    6,751.50x = 10,078.40 × 5,832.96
  4. Step 4: Simplify right side
    6,751.50x = 58,786,904.06
  5. Step 5: Solve for x
    x = 58,786,904.06/6,751.50
  6. Step 6: Final answer
    x = 8,707.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.