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Finding the Fourth Proportional to 10,600.45, 14,627.97 and 5,884.75

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Solution

The fourth proportional to 10,600.45, 14,627.97 and 5,884.75 is: 8,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.45 : 14,627.97 = 5,884.75 : x
  2. Step 2: Convert to fraction form
    10,600.45/14,627.97 = 5,884.75/x
  3. Step 3: Cross multiply
    10,600.45x = 14,627.97 × 5,884.75
  4. Step 4: Simplify right side
    10,600.45x = 86,081,946.46
  5. Step 5: Solve for x
    x = 86,081,946.46/10,600.45
  6. Step 6: Final answer
    x = 8,120.59

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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.