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Finding the Fourth Proportional to 28,521.56, 42,784.50 and 7,745.24

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Solution

The fourth proportional to 28,521.56, 42,784.50 and 7,745.24 is: 11,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,521.56 : 42,784.50 = 7,745.24 : x
  2. Step 2: Convert to fraction form
    28,521.56/42,784.50 = 7,745.24/x
  3. Step 3: Cross multiply
    28,521.56x = 42,784.50 × 7,745.24
  4. Step 4: Simplify right side
    28,521.56x = 331,376,220.78
  5. Step 5: Solve for x
    x = 331,376,220.78/28,521.56
  6. Step 6: Final answer
    x = 11,618.45

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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.