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Finding the Fourth Proportional to 10,584.63, 14,573.46 and 8,988.12

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Solution

The fourth proportional to 10,584.63, 14,573.46 and 8,988.12 is: 12,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.63 : 14,573.46 = 8,988.12 : x
  2. Step 2: Convert to fraction form
    10,584.63/14,573.46 = 8,988.12/x
  3. Step 3: Cross multiply
    10,584.63x = 14,573.46 × 8,988.12
  4. Step 4: Simplify right side
    10,584.63x = 130,988,007.30
  5. Step 5: Solve for x
    x = 130,988,007.30/10,584.63
  6. Step 6: Final answer
    x = 12,375.30

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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.