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Finding the Fourth Proportional to 10,584.75, 15,877.79 and 3,564.19

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Solution

The fourth proportional to 10,584.75, 15,877.79 and 3,564.19 is: 5,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.75 : 15,877.79 = 3,564.19 : x
  2. Step 2: Convert to fraction form
    10,584.75/15,877.79 = 3,564.19/x
  3. Step 3: Cross multiply
    10,584.75x = 15,877.79 × 3,564.19
  4. Step 4: Simplify right side
    10,584.75x = 56,591,460.34
  5. Step 5: Solve for x
    x = 56,591,460.34/10,584.75
  6. Step 6: Final answer
    x = 5,346.51

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