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Finding the Fourth Proportional to 12,598.10, 17,379.56 and 8,123.29

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Solution

The fourth proportional to 12,598.10, 17,379.56 and 8,123.29 is: 11,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.10 : 17,379.56 = 8,123.29 : x
  2. Step 2: Convert to fraction form
    12,598.10/17,379.56 = 8,123.29/x
  3. Step 3: Cross multiply
    12,598.10x = 17,379.56 × 8,123.29
  4. Step 4: Simplify right side
    12,598.10x = 141,179,182.81
  5. Step 5: Solve for x
    x = 141,179,182.81/12,598.10
  6. Step 6: Final answer
    x = 11,206.38

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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.