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Finding the Fourth Proportional to 8,784.96, 13,178.36 and 2,862.31

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Solution

The fourth proportional to 8,784.96, 13,178.36 and 2,862.31 is: 4,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.96 : 13,178.36 = 2,862.31 : x
  2. Step 2: Convert to fraction form
    8,784.96/13,178.36 = 2,862.31/x
  3. Step 3: Cross multiply
    8,784.96x = 13,178.36 × 2,862.31
  4. Step 4: Simplify right side
    8,784.96x = 37,720,471.41
  5. Step 5: Solve for x
    x = 37,720,471.41/8,784.96
  6. Step 6: Final answer
    x = 4,293.76

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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.