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Finding the Fourth Proportional to 7,102.86, 10,656 and 2,172.18

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Solution

The fourth proportional to 7,102.86, 10,656 and 2,172.18 is: 3,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.86 : 10,656 = 2,172.18 : x
  2. Step 2: Convert to fraction form
    7,102.86/10,656 = 2,172.18/x
  3. Step 3: Cross multiply
    7,102.86x = 10,656 × 2,172.18
  4. Step 4: Simplify right side
    7,102.86x = 23,146,750.08
  5. Step 5: Solve for x
    x = 23,146,750.08/7,102.86
  6. Step 6: Final answer
    x = 3,258.79

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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.