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Finding the Fourth Proportional to 10,334.36, 14,262 and 5,618.54

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Solution

The fourth proportional to 10,334.36, 14,262 and 5,618.54 is: 7,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.36 : 14,262 = 5,618.54 : x
  2. Step 2: Convert to fraction form
    10,334.36/14,262 = 5,618.54/x
  3. Step 3: Cross multiply
    10,334.36x = 14,262 × 5,618.54
  4. Step 4: Simplify right side
    10,334.36x = 80,131,617.48
  5. Step 5: Solve for x
    x = 80,131,617.48/10,334.36
  6. Step 6: Final answer
    x = 7,753.90

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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.