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Finding the Fourth Proportional to 7,106.42, 10,661.99 and 3,157.13

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Solution

The fourth proportional to 7,106.42, 10,661.99 and 3,157.13 is: 4,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.42 : 10,661.99 = 3,157.13 : x
  2. Step 2: Convert to fraction form
    7,106.42/10,661.99 = 3,157.13/x
  3. Step 3: Cross multiply
    7,106.42x = 10,661.99 × 3,157.13
  4. Step 4: Simplify right side
    7,106.42x = 33,661,219.39
  5. Step 5: Solve for x
    x = 33,661,219.39/7,106.42
  6. Step 6: Final answer
    x = 4,736.74

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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.