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Finding the Fourth Proportional to 7,751.92, 10,697.44 and 4,394.64

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Solution

The fourth proportional to 7,751.92, 10,697.44 and 4,394.64 is: 6,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.92 : 10,697.44 = 4,394.64 : x
  2. Step 2: Convert to fraction form
    7,751.92/10,697.44 = 4,394.64/x
  3. Step 3: Cross multiply
    7,751.92x = 10,697.44 × 4,394.64
  4. Step 4: Simplify right side
    7,751.92x = 47,011,397.72
  5. Step 5: Solve for x
    x = 47,011,397.72/7,751.92
  6. Step 6: Final answer
    x = 6,064.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.