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Finding the Fourth Proportional to 11,584.34, 15,988.09 and 7,335.79

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Solution

The fourth proportional to 11,584.34, 15,988.09 and 7,335.79 is: 10,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.34 : 15,988.09 = 7,335.79 : x
  2. Step 2: Convert to fraction form
    11,584.34/15,988.09 = 7,335.79/x
  3. Step 3: Cross multiply
    11,584.34x = 15,988.09 × 7,335.79
  4. Step 4: Simplify right side
    11,584.34x = 117,285,239.94
  5. Step 5: Solve for x
    x = 117,285,239.94/11,584.34
  6. Step 6: Final answer
    x = 10,124.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.