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Finding the Fourth Proportional to 8,476.02, 11,696.56 and 4,698.96

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Solution

The fourth proportional to 8,476.02, 11,696.56 and 4,698.96 is: 6,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.02 : 11,696.56 = 4,698.96 : x
  2. Step 2: Convert to fraction form
    8,476.02/11,696.56 = 4,698.96/x
  3. Step 3: Cross multiply
    8,476.02x = 11,696.56 × 4,698.96
  4. Step 4: Simplify right side
    8,476.02x = 54,961,667.58
  5. Step 5: Solve for x
    x = 54,961,667.58/8,476.02
  6. Step 6: Final answer
    x = 6,484.37

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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.