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Finding the Fourth Proportional to 10,851, 14,974.38 and 5,883

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Solution

The fourth proportional to 10,851, 14,974.38 and 5,883 is: 8,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851 : 14,974.38 = 5,883 : x
  2. Step 2: Convert to fraction form
    10,851/14,974.38 = 5,883/x
  3. Step 3: Cross multiply
    10,851x = 14,974.38 × 5,883
  4. Step 4: Simplify right side
    10,851x = 88,094,277.54
  5. Step 5: Solve for x
    x = 88,094,277.54/10,851
  6. Step 6: Final answer
    x = 8,118.54

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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.