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Finding the Fourth Proportional to 8,561.28, 11,814.24 and 4,784.40

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Solution

The fourth proportional to 8,561.28, 11,814.24 and 4,784.40 is: 6,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.28 : 11,814.24 = 4,784.40 : x
  2. Step 2: Convert to fraction form
    8,561.28/11,814.24 = 4,784.40/x
  3. Step 3: Cross multiply
    8,561.28x = 11,814.24 × 4,784.40
  4. Step 4: Simplify right side
    8,561.28x = 56,524,049.86
  5. Step 5: Solve for x
    x = 56,524,049.86/8,561.28
  6. Step 6: Final answer
    x = 6,602.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.