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Finding the Fourth Proportional to 10,364.88, 15,548.64 and 3,794.16

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Solution

The fourth proportional to 10,364.88, 15,548.64 and 3,794.16 is: 5,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.88 : 15,548.64 = 3,794.16 : x
  2. Step 2: Convert to fraction form
    10,364.88/15,548.64 = 3,794.16/x
  3. Step 3: Cross multiply
    10,364.88x = 15,548.64 × 3,794.16
  4. Step 4: Simplify right side
    10,364.88x = 58,994,027.94
  5. Step 5: Solve for x
    x = 58,994,027.94/10,364.88
  6. Step 6: Final answer
    x = 5,691.72

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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.