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Finding the Fourth Proportional to 11,712.38, 16,157.66 and 6,741.50

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Solution

The fourth proportional to 11,712.38, 16,157.66 and 6,741.50 is: 9,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.38 : 16,157.66 = 6,741.50 : x
  2. Step 2: Convert to fraction form
    11,712.38/16,157.66 = 6,741.50/x
  3. Step 3: Cross multiply
    11,712.38x = 16,157.66 × 6,741.50
  4. Step 4: Simplify right side
    11,712.38x = 108,926,864.89
  5. Step 5: Solve for x
    x = 108,926,864.89/11,712.38
  6. Step 6: Final answer
    x = 9,300.15

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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.