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Finding the Fourth Proportional to 11,664.63, 16,097.00 and 6,359.13

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Solution

The fourth proportional to 11,664.63, 16,097.00 and 6,359.13 is: 8,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.63 : 16,097.00 = 6,359.13 : x
  2. Step 2: Convert to fraction form
    11,664.63/16,097.00 = 6,359.13/x
  3. Step 3: Cross multiply
    11,664.63x = 16,097.00 × 6,359.13
  4. Step 4: Simplify right side
    11,664.63x = 102,362,883.81
  5. Step 5: Solve for x
    x = 102,362,883.81/11,664.63
  6. Step 6: Final answer
    x = 8,775.49

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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.