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Finding the Fourth Proportional to 37,894.16, 56,847.72 and 11,596.16

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Solution

The fourth proportional to 37,894.16, 56,847.72 and 11,596.16 is: 17,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.16 : 56,847.72 = 11,596.16 : x
  2. Step 2: Convert to fraction form
    37,894.16/56,847.72 = 11,596.16/x
  3. Step 3: Cross multiply
    37,894.16x = 56,847.72 × 11,596.16
  4. Step 4: Simplify right side
    37,894.16x = 659,215,256.76
  5. Step 5: Solve for x
    x = 659,215,256.76/37,894.16
  6. Step 6: Final answer
    x = 17,396.22

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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.