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Finding the Fourth Proportional to 10,396.86, 14,351.09 and 8,276.28

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Solution

The fourth proportional to 10,396.86, 14,351.09 and 8,276.28 is: 11,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.86 : 14,351.09 = 8,276.28 : x
  2. Step 2: Convert to fraction form
    10,396.86/14,351.09 = 8,276.28/x
  3. Step 3: Cross multiply
    10,396.86x = 14,351.09 × 8,276.28
  4. Step 4: Simplify right side
    10,396.86x = 118,773,597.76
  5. Step 5: Solve for x
    x = 118,773,597.76/10,396.86
  6. Step 6: Final answer
    x = 11,423.99

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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.