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Finding the Fourth Proportional to 11,970.52, 17,956.60 and 4,069.82

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Solution

The fourth proportional to 11,970.52, 17,956.60 and 4,069.82 is: 6,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.52 : 17,956.60 = 4,069.82 : x
  2. Step 2: Convert to fraction form
    11,970.52/17,956.60 = 4,069.82/x
  3. Step 3: Cross multiply
    11,970.52x = 17,956.60 × 4,069.82
  4. Step 4: Simplify right side
    11,970.52x = 73,080,129.81
  5. Step 5: Solve for x
    x = 73,080,129.81/11,970.52
  6. Step 6: Final answer
    x = 6,105.01

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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.