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Finding the Fourth Proportional to 10,383.94, 15,576.45 and 5,188.06

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Solution

The fourth proportional to 10,383.94, 15,576.45 and 5,188.06 is: 7,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.94 : 15,576.45 = 5,188.06 : x
  2. Step 2: Convert to fraction form
    10,383.94/15,576.45 = 5,188.06/x
  3. Step 3: Cross multiply
    10,383.94x = 15,576.45 × 5,188.06
  4. Step 4: Simplify right side
    10,383.94x = 80,811,557.19
  5. Step 5: Solve for x
    x = 80,811,557.19/10,383.94
  6. Step 6: Final answer
    x = 7,782.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.