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Finding the Fourth Proportional to 10,584.73, 14,573.67 and 8,988.03

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Solution

The fourth proportional to 10,584.73, 14,573.67 and 8,988.03 is: 12,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.73 : 14,573.67 = 8,988.03 : x
  2. Step 2: Convert to fraction form
    10,584.73/14,573.67 = 8,988.03/x
  3. Step 3: Cross multiply
    10,584.73x = 14,573.67 × 8,988.03
  4. Step 4: Simplify right side
    10,584.73x = 130,988,583.17
  5. Step 5: Solve for x
    x = 130,988,583.17/10,584.73
  6. Step 6: Final answer
    x = 12,375.24

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Why These Related Problems?

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