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Finding the Fourth Proportional to 11,829.58, 17,756.67 and 8,713.10

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Solution

The fourth proportional to 11,829.58, 17,756.67 and 8,713.10 is: 13,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.58 : 17,756.67 = 8,713.10 : x
  2. Step 2: Convert to fraction form
    11,829.58/17,756.67 = 8,713.10/x
  3. Step 3: Cross multiply
    11,829.58x = 17,756.67 × 8,713.10
  4. Step 4: Simplify right side
    11,829.58x = 154,715,718.44
  5. Step 5: Solve for x
    x = 154,715,718.44/11,829.58
  6. Step 6: Final answer
    x = 13,078.72

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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.