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Finding the Fourth Proportional to 11,708, 16,157.16 and 6,740

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Solution

The fourth proportional to 11,708, 16,157.16 and 6,740 is: 9,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708 : 16,157.16 = 6,740 : x
  2. Step 2: Convert to fraction form
    11,708/16,157.16 = 6,740/x
  3. Step 3: Cross multiply
    11,708x = 16,157.16 × 6,740
  4. Step 4: Simplify right side
    11,708x = 108,899,258.40
  5. Step 5: Solve for x
    x = 108,899,258.40/11,708
  6. Step 6: Final answer
    x = 9,301.27

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Why These Related Problems?

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