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Finding the Fourth Proportional to 11,905.64, 16,437.26 and 7,664.08

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Solution

The fourth proportional to 11,905.64, 16,437.26 and 7,664.08 is: 10,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.64 : 16,437.26 = 7,664.08 : x
  2. Step 2: Convert to fraction form
    11,905.64/16,437.26 = 7,664.08/x
  3. Step 3: Cross multiply
    11,905.64x = 16,437.26 × 7,664.08
  4. Step 4: Simplify right side
    11,905.64x = 125,976,355.11
  5. Step 5: Solve for x
    x = 125,976,355.11/11,905.64
  6. Step 6: Final answer
    x = 10,581.23

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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.