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Finding the Fourth Proportional to 7,793.51, 10,751.62 and 4,647.88

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Solution

The fourth proportional to 7,793.51, 10,751.62 and 4,647.88 is: 6,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.51 : 10,751.62 = 4,647.88 : x
  2. Step 2: Convert to fraction form
    7,793.51/10,751.62 = 4,647.88/x
  3. Step 3: Cross multiply
    7,793.51x = 10,751.62 × 4,647.88
  4. Step 4: Simplify right side
    7,793.51x = 49,972,162.57
  5. Step 5: Solve for x
    x = 49,972,162.57/7,793.51
  6. Step 6: Final answer
    x = 6,412.02

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Why These Related Problems?

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