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Finding the Fourth Proportional to 7,789.46, 10,749.38 and 4,804.10

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Solution

The fourth proportional to 7,789.46, 10,749.38 and 4,804.10 is: 6,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.46 : 10,749.38 = 4,804.10 : x
  2. Step 2: Convert to fraction form
    7,789.46/10,749.38 = 4,804.10/x
  3. Step 3: Cross multiply
    7,789.46x = 10,749.38 × 4,804.10
  4. Step 4: Simplify right side
    7,789.46x = 51,641,135.34
  5. Step 5: Solve for x
    x = 51,641,135.34/7,789.46
  6. Step 6: Final answer
    x = 6,629.61

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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.