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Finding the Fourth Proportional to 7,856.49, 10,842.03 and 4,319.82

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Solution

The fourth proportional to 7,856.49, 10,842.03 and 4,319.82 is: 5,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.49 : 10,842.03 = 4,319.82 : x
  2. Step 2: Convert to fraction form
    7,856.49/10,842.03 = 4,319.82/x
  3. Step 3: Cross multiply
    7,856.49x = 10,842.03 × 4,319.82
  4. Step 4: Simplify right side
    7,856.49x = 46,835,618.03
  5. Step 5: Solve for x
    x = 46,835,618.03/7,856.49
  6. Step 6: Final answer
    x = 5,961.39

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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.