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Finding the Fourth Proportional to 11,970.36, 17,911.80 and 7,042.32

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Solution

The fourth proportional to 11,970.36, 17,911.80 and 7,042.32 is: 10,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.36 : 17,911.80 = 7,042.32 : x
  2. Step 2: Convert to fraction form
    11,970.36/17,911.80 = 7,042.32/x
  3. Step 3: Cross multiply
    11,970.36x = 17,911.80 × 7,042.32
  4. Step 4: Simplify right side
    11,970.36x = 126,140,627.38
  5. Step 5: Solve for x
    x = 126,140,627.38/11,970.36
  6. Step 6: Final answer
    x = 10,537.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.