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Finding the Fourth Proportional to 7,102.77, 10,654.19 and 2,172.39

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Solution

The fourth proportional to 7,102.77, 10,654.19 and 2,172.39 is: 3,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.77 : 10,654.19 = 2,172.39 : x
  2. Step 2: Convert to fraction form
    7,102.77/10,654.19 = 2,172.39/x
  3. Step 3: Cross multiply
    7,102.77x = 10,654.19 × 2,172.39
  4. Step 4: Simplify right side
    7,102.77x = 23,145,055.81
  5. Step 5: Solve for x
    x = 23,145,055.81/7,102.77
  6. Step 6: Final answer
    x = 3,258.60

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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.