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Finding the Fourth Proportional to 7,848.01, 11,770.19 and 2,919.97

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Solution

The fourth proportional to 7,848.01, 11,770.19 and 2,919.97 is: 4,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.01 : 11,770.19 = 2,919.97 : x
  2. Step 2: Convert to fraction form
    7,848.01/11,770.19 = 2,919.97/x
  3. Step 3: Cross multiply
    7,848.01x = 11,770.19 × 2,919.97
  4. Step 4: Simplify right side
    7,848.01x = 34,368,557.67
  5. Step 5: Solve for x
    x = 34,368,557.67/7,848.01
  6. Step 6: Final answer
    x = 4,379.27

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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.