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Finding the Fourth Proportional to 11,374.64, 15,697.32 and 6,659.12

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Solution

The fourth proportional to 11,374.64, 15,697.32 and 6,659.12 is: 9,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.64 : 15,697.32 = 6,659.12 : x
  2. Step 2: Convert to fraction form
    11,374.64/15,697.32 = 6,659.12/x
  3. Step 3: Cross multiply
    11,374.64x = 15,697.32 × 6,659.12
  4. Step 4: Simplify right side
    11,374.64x = 104,530,337.56
  5. Step 5: Solve for x
    x = 104,530,337.56/11,374.64
  6. Step 6: Final answer
    x = 9,189.77

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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.