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Finding the Fourth Proportional to 15,861.16, 23,775.54 and 5,464

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Solution

The fourth proportional to 15,861.16, 23,775.54 and 5,464 is: 8,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.16 : 23,775.54 = 5,464 : x
  2. Step 2: Convert to fraction form
    15,861.16/23,775.54 = 5,464/x
  3. Step 3: Cross multiply
    15,861.16x = 23,775.54 × 5,464
  4. Step 4: Simplify right side
    15,861.16x = 129,909,550.56
  5. Step 5: Solve for x
    x = 129,909,550.56/15,861.16
  6. Step 6: Final answer
    x = 8,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.