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Finding the Fourth Proportional to 7,284.75, 10,911.12 and 6,021.05

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Solution

The fourth proportional to 7,284.75, 10,911.12 and 6,021.05 is: 9,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.75 : 10,911.12 = 6,021.05 : x
  2. Step 2: Convert to fraction form
    7,284.75/10,911.12 = 6,021.05/x
  3. Step 3: Cross multiply
    7,284.75x = 10,911.12 × 6,021.05
  4. Step 4: Simplify right side
    7,284.75x = 65,696,344.52
  5. Step 5: Solve for x
    x = 65,696,344.52/7,284.75
  6. Step 6: Final answer
    x = 9,018.34

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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.