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Finding the Fourth Proportional to 8,696.75, 13,047.01 and 2,853.14

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Solution

The fourth proportional to 8,696.75, 13,047.01 and 2,853.14 is: 4,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.75 : 13,047.01 = 2,853.14 : x
  2. Step 2: Convert to fraction form
    8,696.75/13,047.01 = 2,853.14/x
  3. Step 3: Cross multiply
    8,696.75x = 13,047.01 × 2,853.14
  4. Step 4: Simplify right side
    8,696.75x = 37,224,946.11
  5. Step 5: Solve for x
    x = 37,224,946.11/8,696.75
  6. Step 6: Final answer
    x = 4,280.33

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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.