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Finding the Fourth Proportional to 8,474.93, 11,695.19 and 4,698.10

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Solution

The fourth proportional to 8,474.93, 11,695.19 and 4,698.10 is: 6,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.93 : 11,695.19 = 4,698.10 : x
  2. Step 2: Convert to fraction form
    8,474.93/11,695.19 = 4,698.10/x
  3. Step 3: Cross multiply
    8,474.93x = 11,695.19 × 4,698.10
  4. Step 4: Simplify right side
    8,474.93x = 54,945,163.27
  5. Step 5: Solve for x
    x = 54,945,163.27/8,474.93
  6. Step 6: Final answer
    x = 6,483.26

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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.