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Finding the Fourth Proportional to 8,415.54, 12,623.85 and 4,945.50

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Solution

The fourth proportional to 8,415.54, 12,623.85 and 4,945.50 is: 7,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.54 : 12,623.85 = 4,945.50 : x
  2. Step 2: Convert to fraction form
    8,415.54/12,623.85 = 4,945.50/x
  3. Step 3: Cross multiply
    8,415.54x = 12,623.85 × 4,945.50
  4. Step 4: Simplify right side
    8,415.54x = 62,431,250.18
  5. Step 5: Solve for x
    x = 62,431,250.18/8,415.54
  6. Step 6: Final answer
    x = 7,418.57

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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.