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Finding the Fourth Proportional to 11,958.32, 17,937.52 and 5,798

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Solution

The fourth proportional to 11,958.32, 17,937.52 and 5,798 is: 8,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.32 : 17,937.52 = 5,798 : x
  2. Step 2: Convert to fraction form
    11,958.32/17,937.52 = 5,798/x
  3. Step 3: Cross multiply
    11,958.32x = 17,937.52 × 5,798
  4. Step 4: Simplify right side
    11,958.32x = 104,001,740.96
  5. Step 5: Solve for x
    x = 104,001,740.96/11,958.32
  6. Step 6: Final answer
    x = 8,697.02

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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.