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Finding the Fourth Proportional to 11,830.59, 17,719.97 and 7,203.87

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Solution

The fourth proportional to 11,830.59, 17,719.97 and 7,203.87 is: 10,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.59 : 17,719.97 = 7,203.87 : x
  2. Step 2: Convert to fraction form
    11,830.59/17,719.97 = 7,203.87/x
  3. Step 3: Cross multiply
    11,830.59x = 17,719.97 × 7,203.87
  4. Step 4: Simplify right side
    11,830.59x = 127,652,324.26
  5. Step 5: Solve for x
    x = 127,652,324.26/11,830.59
  6. Step 6: Final answer
    x = 10,790.02

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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.