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Finding the Fourth Proportional to 8,996.37, 13,458.42 and 7,776.87

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Solution

The fourth proportional to 8,996.37, 13,458.42 and 7,776.87 is: 11,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.37 : 13,458.42 = 7,776.87 : x
  2. Step 2: Convert to fraction form
    8,996.37/13,458.42 = 7,776.87/x
  3. Step 3: Cross multiply
    8,996.37x = 13,458.42 × 7,776.87
  4. Step 4: Simplify right side
    8,996.37x = 104,664,382.75
  5. Step 5: Solve for x
    x = 104,664,382.75/8,996.37
  6. Step 6: Final answer
    x = 11,634.07

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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.