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Finding the Fourth Proportional to 11,978.38, 17,968.03 and 4,583.59

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Solution

The fourth proportional to 11,978.38, 17,968.03 and 4,583.59 is: 6,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.38 : 17,968.03 = 4,583.59 : x
  2. Step 2: Convert to fraction form
    11,978.38/17,968.03 = 4,583.59/x
  3. Step 3: Cross multiply
    11,978.38x = 17,968.03 × 4,583.59
  4. Step 4: Simplify right side
    11,978.38x = 82,358,026.25
  5. Step 5: Solve for x
    x = 82,358,026.25/11,978.38
  6. Step 6: Final answer
    x = 6,875.56

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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.