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Finding the Fourth Proportional to 7,412.09, 10,211.12 and 5,170.01

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Solution

The fourth proportional to 7,412.09, 10,211.12 and 5,170.01 is: 7,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.09 : 10,211.12 = 5,170.01 : x
  2. Step 2: Convert to fraction form
    7,412.09/10,211.12 = 5,170.01/x
  3. Step 3: Cross multiply
    7,412.09x = 10,211.12 × 5,170.01
  4. Step 4: Simplify right side
    7,412.09x = 52,791,611.58
  5. Step 5: Solve for x
    x = 52,791,611.58/7,412.09
  6. Step 6: Final answer
    x = 7,122.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.