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Finding the Fourth Proportional to 10,289.75, 14,204.76 and 6,892.61

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Solution

The fourth proportional to 10,289.75, 14,204.76 and 6,892.61 is: 9,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.75 : 14,204.76 = 6,892.61 : x
  2. Step 2: Convert to fraction form
    10,289.75/14,204.76 = 6,892.61/x
  3. Step 3: Cross multiply
    10,289.75x = 14,204.76 × 6,892.61
  4. Step 4: Simplify right side
    10,289.75x = 97,907,773.95
  5. Step 5: Solve for x
    x = 97,907,773.95/10,289.75
  6. Step 6: Final answer
    x = 9,515.08

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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.