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Finding the Fourth Proportional to 7,102.98, 10,654.47 and 2,172.69

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Solution

The fourth proportional to 7,102.98, 10,654.47 and 2,172.69 is: 3,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.98 : 10,654.47 = 2,172.69 : x
  2. Step 2: Convert to fraction form
    7,102.98/10,654.47 = 2,172.69/x
  3. Step 3: Cross multiply
    7,102.98x = 10,654.47 × 2,172.69
  4. Step 4: Simplify right side
    7,102.98x = 23,148,860.42
  5. Step 5: Solve for x
    x = 23,148,860.42/7,102.98
  6. Step 6: Final answer
    x = 3,259.04

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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.