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Finding the Fourth Proportional to 11,708.16, 16,157.12 and 6,740.16

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Solution

The fourth proportional to 11,708.16, 16,157.12 and 6,740.16 is: 9,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.16 : 16,157.12 = 6,740.16 : x
  2. Step 2: Convert to fraction form
    11,708.16/16,157.12 = 6,740.16/x
  3. Step 3: Cross multiply
    11,708.16x = 16,157.12 × 6,740.16
  4. Step 4: Simplify right side
    11,708.16x = 108,901,573.94
  5. Step 5: Solve for x
    x = 108,901,573.94/11,708.16
  6. Step 6: Final answer
    x = 9,301.34

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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.