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Finding the Fourth Proportional to 11,537.34, 17,293.86 and 5,984.79

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Solution

The fourth proportional to 11,537.34, 17,293.86 and 5,984.79 is: 8,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.34 : 17,293.86 = 5,984.79 : x
  2. Step 2: Convert to fraction form
    11,537.34/17,293.86 = 5,984.79/x
  3. Step 3: Cross multiply
    11,537.34x = 17,293.86 × 5,984.79
  4. Step 4: Simplify right side
    11,537.34x = 103,500,152.82
  5. Step 5: Solve for x
    x = 103,500,152.82/11,537.34
  6. Step 6: Final answer
    x = 8,970.88

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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.