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Finding the Fourth Proportional to 10,298.96, 14,212.56 and 5,583.20

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Solution

The fourth proportional to 10,298.96, 14,212.56 and 5,583.20 is: 7,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.96 : 14,212.56 = 5,583.20 : x
  2. Step 2: Convert to fraction form
    10,298.96/14,212.56 = 5,583.20/x
  3. Step 3: Cross multiply
    10,298.96x = 14,212.56 × 5,583.20
  4. Step 4: Simplify right side
    10,298.96x = 79,351,564.99
  5. Step 5: Solve for x
    x = 79,351,564.99/10,298.96
  6. Step 6: Final answer
    x = 7,704.81

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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.