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Finding the Fourth Proportional to 11,826.77, 17,752.45 and 8,710.29

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Solution

The fourth proportional to 11,826.77, 17,752.45 and 8,710.29 is: 13,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.77 : 17,752.45 = 8,710.29 : x
  2. Step 2: Convert to fraction form
    11,826.77/17,752.45 = 8,710.29/x
  3. Step 3: Cross multiply
    11,826.77x = 17,752.45 × 8,710.29
  4. Step 4: Simplify right side
    11,826.77x = 154,628,982.27
  5. Step 5: Solve for x
    x = 154,628,982.27/11,826.77
  6. Step 6: Final answer
    x = 13,074.50

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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.