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Finding the Fourth Proportional to 8,741.36, 13,114.20 and 7,199.12

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Solution

The fourth proportional to 8,741.36, 13,114.20 and 7,199.12 is: 10,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.36 : 13,114.20 = 7,199.12 : x
  2. Step 2: Convert to fraction form
    8,741.36/13,114.20 = 7,199.12/x
  3. Step 3: Cross multiply
    8,741.36x = 13,114.20 × 7,199.12
  4. Step 4: Simplify right side
    8,741.36x = 94,410,699.50
  5. Step 5: Solve for x
    x = 94,410,699.50/8,741.36
  6. Step 6: Final answer
    x = 10,800.46

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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.