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Finding the Fourth Proportional to 11,664.68, 16,097.24 and 6,359.48

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Solution

The fourth proportional to 11,664.68, 16,097.24 and 6,359.48 is: 8,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.68 : 16,097.24 = 6,359.48 : x
  2. Step 2: Convert to fraction form
    11,664.68/16,097.24 = 6,359.48/x
  3. Step 3: Cross multiply
    11,664.68x = 16,097.24 × 6,359.48
  4. Step 4: Simplify right side
    11,664.68x = 102,370,075.84
  5. Step 5: Solve for x
    x = 102,370,075.84/11,664.68
  6. Step 6: Final answer
    x = 8,776.07

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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.