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Finding the Fourth Proportional to 7,818.07, 11,731.16 and 4,488.97

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Solution

The fourth proportional to 7,818.07, 11,731.16 and 4,488.97 is: 6,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.07 : 11,731.16 = 4,488.97 : x
  2. Step 2: Convert to fraction form
    7,818.07/11,731.16 = 4,488.97/x
  3. Step 3: Cross multiply
    7,818.07x = 11,731.16 × 4,488.97
  4. Step 4: Simplify right side
    7,818.07x = 52,660,802.86
  5. Step 5: Solve for x
    x = 52,660,802.86/7,818.07
  6. Step 6: Final answer
    x = 6,735.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.