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Finding the Fourth Proportional to 7,895.83, 11,841.68 and 2,347.68

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Solution

The fourth proportional to 7,895.83, 11,841.68 and 2,347.68 is: 3,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.83 : 11,841.68 = 2,347.68 : x
  2. Step 2: Convert to fraction form
    7,895.83/11,841.68 = 2,347.68/x
  3. Step 3: Cross multiply
    7,895.83x = 11,841.68 × 2,347.68
  4. Step 4: Simplify right side
    7,895.83x = 27,800,404.36
  5. Step 5: Solve for x
    x = 27,800,404.36/7,895.83
  6. Step 6: Final answer
    x = 3,520.90

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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.