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Finding the Fourth Proportional to 7,998.35, 11,994.48 and 3,835.76

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Solution

The fourth proportional to 7,998.35, 11,994.48 and 3,835.76 is: 5,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.35 : 11,994.48 = 3,835.76 : x
  2. Step 2: Convert to fraction form
    7,998.35/11,994.48 = 3,835.76/x
  3. Step 3: Cross multiply
    7,998.35x = 11,994.48 × 3,835.76
  4. Step 4: Simplify right side
    7,998.35x = 46,007,886.63
  5. Step 5: Solve for x
    x = 46,007,886.63/7,998.35
  6. Step 6: Final answer
    x = 5,752.18

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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.