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Finding the Fourth Proportional to 7,867.82, 10,856.21 and 4,724.07

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Solution

The fourth proportional to 7,867.82, 10,856.21 and 4,724.07 is: 6,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.82 : 10,856.21 = 4,724.07 : x
  2. Step 2: Convert to fraction form
    7,867.82/10,856.21 = 4,724.07/x
  3. Step 3: Cross multiply
    7,867.82x = 10,856.21 × 4,724.07
  4. Step 4: Simplify right side
    7,867.82x = 51,285,472.35
  5. Step 5: Solve for x
    x = 51,285,472.35/7,867.82
  6. Step 6: Final answer
    x = 6,518.39

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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.