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Finding the Fourth Proportional to 10,396.89, 14,366.04 and 7,704.24

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Solution

The fourth proportional to 10,396.89, 14,366.04 and 7,704.24 is: 10,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.89 : 14,366.04 = 7,704.24 : x
  2. Step 2: Convert to fraction form
    10,396.89/14,366.04 = 7,704.24/x
  3. Step 3: Cross multiply
    10,396.89x = 14,366.04 × 7,704.24
  4. Step 4: Simplify right side
    10,396.89x = 110,679,420.01
  5. Step 5: Solve for x
    x = 110,679,420.01/10,396.89
  6. Step 6: Final answer
    x = 10,645.44

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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.