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Finding the Fourth Proportional to 10,892.85, 16,313.35 and 6,266.13

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Solution

The fourth proportional to 10,892.85, 16,313.35 and 6,266.13 is: 9,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.85 : 16,313.35 = 6,266.13 : x
  2. Step 2: Convert to fraction form
    10,892.85/16,313.35 = 6,266.13/x
  3. Step 3: Cross multiply
    10,892.85x = 16,313.35 × 6,266.13
  4. Step 4: Simplify right side
    10,892.85x = 102,221,571.84
  5. Step 5: Solve for x
    x = 102,221,571.84/10,892.85
  6. Step 6: Final answer
    x = 9,384.28

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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.