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Finding the Fourth Proportional to 7,102.89, 10,653.93 and 2,172.15

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Solution

The fourth proportional to 7,102.89, 10,653.93 and 2,172.15 is: 3,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.89 : 10,653.93 = 2,172.15 : x
  2. Step 2: Convert to fraction form
    7,102.89/10,653.93 = 2,172.15/x
  3. Step 3: Cross multiply
    7,102.89x = 10,653.93 × 2,172.15
  4. Step 4: Simplify right side
    7,102.89x = 23,141,934.05
  5. Step 5: Solve for x
    x = 23,141,934.05/7,102.89
  6. Step 6: Final answer
    x = 3,258.10

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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.