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Finding the Fourth Proportional to 8,634.24, 11,905.88 and 7,505.19

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Solution

The fourth proportional to 8,634.24, 11,905.88 and 7,505.19 is: 10,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.24 : 11,905.88 = 7,505.19 : x
  2. Step 2: Convert to fraction form
    8,634.24/11,905.88 = 7,505.19/x
  3. Step 3: Cross multiply
    8,634.24x = 11,905.88 × 7,505.19
  4. Step 4: Simplify right side
    8,634.24x = 89,355,853.99
  5. Step 5: Solve for x
    x = 89,355,853.99/8,634.24
  6. Step 6: Final answer
    x = 10,349.01

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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.