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Finding the Fourth Proportional to 7,141.37, 10,712.06 and 4,172.54

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Solution

The fourth proportional to 7,141.37, 10,712.06 and 4,172.54 is: 6,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.37 : 10,712.06 = 4,172.54 : x
  2. Step 2: Convert to fraction form
    7,141.37/10,712.06 = 4,172.54/x
  3. Step 3: Cross multiply
    7,141.37x = 10,712.06 × 4,172.54
  4. Step 4: Simplify right side
    7,141.37x = 44,696,498.83
  5. Step 5: Solve for x
    x = 44,696,498.83/7,141.37
  6. Step 6: Final answer
    x = 6,258.81

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