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Finding the Fourth Proportional to 11,493.60, 17,242.32 and 4,096.32

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Solution

The fourth proportional to 11,493.60, 17,242.32 and 4,096.32 is: 6,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.60 : 17,242.32 = 4,096.32 : x
  2. Step 2: Convert to fraction form
    11,493.60/17,242.32 = 4,096.32/x
  3. Step 3: Cross multiply
    11,493.60x = 17,242.32 × 4,096.32
  4. Step 4: Simplify right side
    11,493.60x = 70,630,060.26
  5. Step 5: Solve for x
    x = 70,630,060.26/11,493.60
  6. Step 6: Final answer
    x = 6,145.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.