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Finding the Fourth Proportional to 8,596.56, 12,887.28 and 3,406.08

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Solution

The fourth proportional to 8,596.56, 12,887.28 and 3,406.08 is: 5,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.56 : 12,887.28 = 3,406.08 : x
  2. Step 2: Convert to fraction form
    8,596.56/12,887.28 = 3,406.08/x
  3. Step 3: Cross multiply
    8,596.56x = 12,887.28 × 3,406.08
  4. Step 4: Simplify right side
    8,596.56x = 43,895,106.66
  5. Step 5: Solve for x
    x = 43,895,106.66/8,596.56
  6. Step 6: Final answer
    x = 5,106.12

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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.