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Finding the Fourth Proportional to 10,652.54, 15,976.61 and 2,859.50

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Solution

The fourth proportional to 10,652.54, 15,976.61 and 2,859.50 is: 4,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.54 : 15,976.61 = 2,859.50 : x
  2. Step 2: Convert to fraction form
    10,652.54/15,976.61 = 2,859.50/x
  3. Step 3: Cross multiply
    10,652.54x = 15,976.61 × 2,859.50
  4. Step 4: Simplify right side
    10,652.54x = 45,685,116.30
  5. Step 5: Solve for x
    x = 45,685,116.30/10,652.54
  6. Step 6: Final answer
    x = 4,288.66

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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.