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Finding the Fourth Proportional to 8,419.09, 11,623.32 and 7,485

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Solution

The fourth proportional to 8,419.09, 11,623.32 and 7,485 is: 10,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.09 : 11,623.32 = 7,485 : x
  2. Step 2: Convert to fraction form
    8,419.09/11,623.32 = 7,485/x
  3. Step 3: Cross multiply
    8,419.09x = 11,623.32 × 7,485
  4. Step 4: Simplify right side
    8,419.09x = 87,000,512.78
  5. Step 5: Solve for x
    x = 87,000,512.78/8,419.09
  6. Step 6: Final answer
    x = 10,333.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.