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Finding the Fourth Proportional to 5,865.72, 8,777.62 and 5,094.80

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Solution

The fourth proportional to 5,865.72, 8,777.62 and 5,094.80 is: 7,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.72 : 8,777.62 = 5,094.80 : x
  2. Step 2: Convert to fraction form
    5,865.72/8,777.62 = 5,094.80/x
  3. Step 3: Cross multiply
    5,865.72x = 8,777.62 × 5,094.80
  4. Step 4: Simplify right side
    5,865.72x = 44,720,185.11
  5. Step 5: Solve for x
    x = 44,720,185.11/5,865.72
  6. Step 6: Final answer
    x = 7,623.99

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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.