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Finding the Fourth Proportional to 10,297.64, 14,211.36 and 5,821.81

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Solution

The fourth proportional to 10,297.64, 14,211.36 and 5,821.81 is: 8,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.64 : 14,211.36 = 5,821.81 : x
  2. Step 2: Convert to fraction form
    10,297.64/14,211.36 = 5,821.81/x
  3. Step 3: Cross multiply
    10,297.64x = 14,211.36 × 5,821.81
  4. Step 4: Simplify right side
    10,297.64x = 82,735,870.37
  5. Step 5: Solve for x
    x = 82,735,870.37/10,297.64
  6. Step 6: Final answer
    x = 8,034.45

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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.