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Finding the Fourth Proportional to 5,783.68, 8,660.92 and 5,014.60

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Solution

The fourth proportional to 5,783.68, 8,660.92 and 5,014.60 is: 7,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.68 : 8,660.92 = 5,014.60 : x
  2. Step 2: Convert to fraction form
    5,783.68/8,660.92 = 5,014.60/x
  3. Step 3: Cross multiply
    5,783.68x = 8,660.92 × 5,014.60
  4. Step 4: Simplify right side
    5,783.68x = 43,431,049.43
  5. Step 5: Solve for x
    x = 43,431,049.43/5,783.68
  6. Step 6: Final answer
    x = 7,509.24

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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.