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Finding the Fourth Proportional to 28,176.56, 42,267.24 and 7,400

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Solution

The fourth proportional to 28,176.56, 42,267.24 and 7,400 is: 11,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176.56 : 42,267.24 = 7,400 : x
  2. Step 2: Convert to fraction form
    28,176.56/42,267.24 = 7,400/x
  3. Step 3: Cross multiply
    28,176.56x = 42,267.24 × 7,400
  4. Step 4: Simplify right side
    28,176.56x = 312,777,576
  5. Step 5: Solve for x
    x = 312,777,576/28,176.56
  6. Step 6: Final answer
    x = 11,100.63

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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.