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Finding the Fourth Proportional to 7,106.40, 10,664.40 and 3,986.40

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Solution

The fourth proportional to 7,106.40, 10,664.40 and 3,986.40 is: 5,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.40 : 10,664.40 = 3,986.40 : x
  2. Step 2: Convert to fraction form
    7,106.40/10,664.40 = 3,986.40/x
  3. Step 3: Cross multiply
    7,106.40x = 10,664.40 × 3,986.40
  4. Step 4: Simplify right side
    7,106.40x = 42,512,564.16
  5. Step 5: Solve for x
    x = 42,512,564.16/7,106.40
  6. Step 6: Final answer
    x = 5,982.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.