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Finding the Fourth Proportional to 11,970.34, 17,911.76 and 7,042.30

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Solution

The fourth proportional to 11,970.34, 17,911.76 and 7,042.30 is: 10,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.34 : 17,911.76 = 7,042.30 : x
  2. Step 2: Convert to fraction form
    11,970.34/17,911.76 = 7,042.30/x
  3. Step 3: Cross multiply
    11,970.34x = 17,911.76 × 7,042.30
  4. Step 4: Simplify right side
    11,970.34x = 126,139,973.48
  5. Step 5: Solve for x
    x = 126,139,973.48/11,970.34
  6. Step 6: Final answer
    x = 10,537.71

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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.