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Finding the Fourth Proportional to 10,469.30, 15,704.55 and 3,894.93

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Solution

The fourth proportional to 10,469.30, 15,704.55 and 3,894.93 is: 5,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.30 : 15,704.55 = 3,894.93 : x
  2. Step 2: Convert to fraction form
    10,469.30/15,704.55 = 3,894.93/x
  3. Step 3: Cross multiply
    10,469.30x = 15,704.55 × 3,894.93
  4. Step 4: Simplify right side
    10,469.30x = 61,168,122.93
  5. Step 5: Solve for x
    x = 61,168,122.93/10,469.30
  6. Step 6: Final answer
    x = 5,842.62

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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.