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Finding the Fourth Proportional to 11,598.12, 15,930.57 and 11,376.84

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Solution

The fourth proportional to 11,598.12, 15,930.57 and 11,376.84 is: 15,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.12 : 15,930.57 = 11,376.84 : x
  2. Step 2: Convert to fraction form
    11,598.12/15,930.57 = 11,376.84/x
  3. Step 3: Cross multiply
    11,598.12x = 15,930.57 × 11,376.84
  4. Step 4: Simplify right side
    11,598.12x = 181,239,546.00
  5. Step 5: Solve for x
    x = 181,239,546.00/11,598.12
  6. Step 6: Final answer
    x = 15,626.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.