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Finding the Fourth Proportional to 10,846.50, 14,968.26 and 5,878.50

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Solution

The fourth proportional to 10,846.50, 14,968.26 and 5,878.50 is: 8,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.50 : 14,968.26 = 5,878.50 : x
  2. Step 2: Convert to fraction form
    10,846.50/14,968.26 = 5,878.50/x
  3. Step 3: Cross multiply
    10,846.50x = 14,968.26 × 5,878.50
  4. Step 4: Simplify right side
    10,846.50x = 87,990,916.41
  5. Step 5: Solve for x
    x = 87,990,916.41/10,846.50
  6. Step 6: Final answer
    x = 8,112.38

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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.