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Finding the Fourth Proportional to 8,477.72, 11,698.62 and 4,751

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Solution

The fourth proportional to 8,477.72, 11,698.62 and 4,751 is: 6,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.72 : 11,698.62 = 4,751 : x
  2. Step 2: Convert to fraction form
    8,477.72/11,698.62 = 4,751/x
  3. Step 3: Cross multiply
    8,477.72x = 11,698.62 × 4,751
  4. Step 4: Simplify right side
    8,477.72x = 55,580,143.62
  5. Step 5: Solve for x
    x = 55,580,143.62/8,477.72
  6. Step 6: Final answer
    x = 6,556.02

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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.