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Finding the Fourth Proportional to 8,823, 12,175.74 and 5,097

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Solution

The fourth proportional to 8,823, 12,175.74 and 5,097 is: 7,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823 : 12,175.74 = 5,097 : x
  2. Step 2: Convert to fraction form
    8,823/12,175.74 = 5,097/x
  3. Step 3: Cross multiply
    8,823x = 12,175.74 × 5,097
  4. Step 4: Simplify right side
    8,823x = 62,059,746.78
  5. Step 5: Solve for x
    x = 62,059,746.78/8,823
  6. Step 6: Final answer
    x = 7,033.86

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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.