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Finding the Fourth Proportional to 10,297.93, 14,211.03 and 5,760.56

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Solution

The fourth proportional to 10,297.93, 14,211.03 and 5,760.56 is: 7,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.93 : 14,211.03 = 5,760.56 : x
  2. Step 2: Convert to fraction form
    10,297.93/14,211.03 = 5,760.56/x
  3. Step 3: Cross multiply
    10,297.93x = 14,211.03 × 5,760.56
  4. Step 4: Simplify right side
    10,297.93x = 81,863,526.50
  5. Step 5: Solve for x
    x = 81,863,526.50/10,297.93
  6. Step 6: Final answer
    x = 7,949.51

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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.