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Finding the Fourth Proportional to 7,873.94, 11,749.23 and 7,046.53

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Solution

The fourth proportional to 7,873.94, 11,749.23 and 7,046.53 is: 10,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.94 : 11,749.23 = 7,046.53 : x
  2. Step 2: Convert to fraction form
    7,873.94/11,749.23 = 7,046.53/x
  3. Step 3: Cross multiply
    7,873.94x = 11,749.23 × 7,046.53
  4. Step 4: Simplify right side
    7,873.94x = 82,791,207.69
  5. Step 5: Solve for x
    x = 82,791,207.69/7,873.94
  6. Step 6: Final answer
    x = 10,514.58

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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.