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Finding the Fourth Proportional to 8,484.69, 11,706.44 and 4,899.36

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Solution

The fourth proportional to 8,484.69, 11,706.44 and 4,899.36 is: 6,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.69 : 11,706.44 = 4,899.36 : x
  2. Step 2: Convert to fraction form
    8,484.69/11,706.44 = 4,899.36/x
  3. Step 3: Cross multiply
    8,484.69x = 11,706.44 × 4,899.36
  4. Step 4: Simplify right side
    8,484.69x = 57,354,039.38
  5. Step 5: Solve for x
    x = 57,354,039.38/8,484.69
  6. Step 6: Final answer
    x = 6,759.71

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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.