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Finding the Fourth Proportional to 8,334.90, 11,428.29 and 8,138.07

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Solution

The fourth proportional to 8,334.90, 11,428.29 and 8,138.07 is: 11,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.90 : 11,428.29 = 8,138.07 : x
  2. Step 2: Convert to fraction form
    8,334.90/11,428.29 = 8,138.07/x
  3. Step 3: Cross multiply
    8,334.90x = 11,428.29 × 8,138.07
  4. Step 4: Simplify right side
    8,334.90x = 93,004,224.00
  5. Step 5: Solve for x
    x = 93,004,224.00/8,334.90
  6. Step 6: Final answer
    x = 11,158.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.