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Finding the Fourth Proportional to 7,873.44, 11,748.48 and 7,046.03

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Solution

The fourth proportional to 7,873.44, 11,748.48 and 7,046.03 is: 10,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.44 : 11,748.48 = 7,046.03 : x
  2. Step 2: Convert to fraction form
    7,873.44/11,748.48 = 7,046.03/x
  3. Step 3: Cross multiply
    7,873.44x = 11,748.48 × 7,046.03
  4. Step 4: Simplify right side
    7,873.44x = 82,780,083.79
  5. Step 5: Solve for x
    x = 82,780,083.79/7,873.44
  6. Step 6: Final answer
    x = 10,513.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.