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Finding the Fourth Proportional to 10,765.92, 14,856.84 and 6,051

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Solution

The fourth proportional to 10,765.92, 14,856.84 and 6,051 is: 8,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.92 : 14,856.84 = 6,051 : x
  2. Step 2: Convert to fraction form
    10,765.92/14,856.84 = 6,051/x
  3. Step 3: Cross multiply
    10,765.92x = 14,856.84 × 6,051
  4. Step 4: Simplify right side
    10,765.92x = 89,898,738.84
  5. Step 5: Solve for x
    x = 89,898,738.84/10,765.92
  6. Step 6: Final answer
    x = 8,350.31

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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.