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Finding the Fourth Proportional to 11,632.08, 16,052.52 and 6,664.08

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Solution

The fourth proportional to 11,632.08, 16,052.52 and 6,664.08 is: 9,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.08 : 16,052.52 = 6,664.08 : x
  2. Step 2: Convert to fraction form
    11,632.08/16,052.52 = 6,664.08/x
  3. Step 3: Cross multiply
    11,632.08x = 16,052.52 × 6,664.08
  4. Step 4: Simplify right side
    11,632.08x = 106,975,277.48
  5. Step 5: Solve for x
    x = 106,975,277.48/11,632.08
  6. Step 6: Final answer
    x = 9,196.57

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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.