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Finding the Fourth Proportional to 7,133.00, 10,696.66 and 2,747.66

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Solution

The fourth proportional to 7,133.00, 10,696.66 and 2,747.66 is: 4,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.00 : 10,696.66 = 2,747.66 : x
  2. Step 2: Convert to fraction form
    7,133.00/10,696.66 = 2,747.66/x
  3. Step 3: Cross multiply
    7,133.00x = 10,696.66 × 2,747.66
  4. Step 4: Simplify right side
    7,133.00x = 29,390,724.46
  5. Step 5: Solve for x
    x = 29,390,724.46/7,133.00
  6. Step 6: Final answer
    x = 4,120.39

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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.