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Finding the Fourth Proportional to 8,771.54, 13,142.46 and 5,301.50

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Solution

The fourth proportional to 8,771.54, 13,142.46 and 5,301.50 is: 7,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.54 : 13,142.46 = 5,301.50 : x
  2. Step 2: Convert to fraction form
    8,771.54/13,142.46 = 5,301.50/x
  3. Step 3: Cross multiply
    8,771.54x = 13,142.46 × 5,301.50
  4. Step 4: Simplify right side
    8,771.54x = 69,674,751.69
  5. Step 5: Solve for x
    x = 69,674,751.69/8,771.54
  6. Step 6: Final answer
    x = 7,943.27

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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.