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Finding the Fourth Proportional to 11,652.64, 16,080.24 and 6,347.32

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Solution

The fourth proportional to 11,652.64, 16,080.24 and 6,347.32 is: 8,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.64 : 16,080.24 = 6,347.32 : x
  2. Step 2: Convert to fraction form
    11,652.64/16,080.24 = 6,347.32/x
  3. Step 3: Cross multiply
    11,652.64x = 16,080.24 × 6,347.32
  4. Step 4: Simplify right side
    11,652.64x = 102,066,428.96
  5. Step 5: Solve for x
    x = 102,066,428.96/11,652.64
  6. Step 6: Final answer
    x = 8,759.08

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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.