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Finding the Fourth Proportional to 11,968.52, 17,953.07 and 4,071.02

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Solution

The fourth proportional to 11,968.52, 17,953.07 and 4,071.02 is: 6,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.52 : 17,953.07 = 4,071.02 : x
  2. Step 2: Convert to fraction form
    11,968.52/17,953.07 = 4,071.02/x
  3. Step 3: Cross multiply
    11,968.52x = 17,953.07 × 4,071.02
  4. Step 4: Simplify right side
    11,968.52x = 73,087,196.91
  5. Step 5: Solve for x
    x = 73,087,196.91/11,968.52
  6. Step 6: Final answer
    x = 6,106.62

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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.