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Finding the Fourth Proportional to 11,866.40, 17,794.80 and 4,071.20

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Solution

The fourth proportional to 11,866.40, 17,794.80 and 4,071.20 is: 6,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.40 : 17,794.80 = 4,071.20 : x
  2. Step 2: Convert to fraction form
    11,866.40/17,794.80 = 4,071.20/x
  3. Step 3: Cross multiply
    11,866.40x = 17,794.80 × 4,071.20
  4. Step 4: Simplify right side
    11,866.40x = 72,446,189.76
  5. Step 5: Solve for x
    x = 72,446,189.76/11,866.40
  6. Step 6: Final answer
    x = 6,105.15

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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.