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Finding the Fourth Proportional to 7,856.39, 10,841.82 and 4,319.84

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Solution

The fourth proportional to 7,856.39, 10,841.82 and 4,319.84 is: 5,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.39 : 10,841.82 = 4,319.84 : x
  2. Step 2: Convert to fraction form
    7,856.39/10,841.82 = 4,319.84/x
  3. Step 3: Cross multiply
    7,856.39x = 10,841.82 × 4,319.84
  4. Step 4: Simplify right side
    7,856.39x = 46,834,927.71
  5. Step 5: Solve for x
    x = 46,834,927.71/7,856.39
  6. Step 6: Final answer
    x = 5,961.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.