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Finding the Fourth Proportional to 8,696.34, 13,044.60 and 3,501

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Solution

The fourth proportional to 8,696.34, 13,044.60 and 3,501 is: 5,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.34 : 13,044.60 = 3,501 : x
  2. Step 2: Convert to fraction form
    8,696.34/13,044.60 = 3,501/x
  3. Step 3: Cross multiply
    8,696.34x = 13,044.60 × 3,501
  4. Step 4: Simplify right side
    8,696.34x = 45,669,144.60
  5. Step 5: Solve for x
    x = 45,669,144.60/8,696.34
  6. Step 6: Final answer
    x = 5,251.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.