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Finding the Fourth Proportional to 10,014, 13,819.44 and 5,824.80

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Solution

The fourth proportional to 10,014, 13,819.44 and 5,824.80 is: 8,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 13,819.44 = 5,824.80 : x
  2. Step 2: Convert to fraction form
    10,014/13,819.44 = 5,824.80/x
  3. Step 3: Cross multiply
    10,014x = 13,819.44 × 5,824.80
  4. Step 4: Simplify right side
    10,014x = 80,495,474.11
  5. Step 5: Solve for x
    x = 80,495,474.11/10,014
  6. Step 6: Final answer
    x = 8,038.29

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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.