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Finding the Fourth Proportional to 11,652.96, 16,079.28 and 6,684

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Solution

The fourth proportional to 11,652.96, 16,079.28 and 6,684 is: 9,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.96 : 16,079.28 = 6,684 : x
  2. Step 2: Convert to fraction form
    11,652.96/16,079.28 = 6,684/x
  3. Step 3: Cross multiply
    11,652.96x = 16,079.28 × 6,684
  4. Step 4: Simplify right side
    11,652.96x = 107,473,907.52
  5. Step 5: Solve for x
    x = 107,473,907.52/11,652.96
  6. Step 6: Final answer
    x = 9,222.88

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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.