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Finding the Fourth Proportional to 11,599.19, 17,400.50 and 4,201.93

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Solution

The fourth proportional to 11,599.19, 17,400.50 and 4,201.93 is: 6,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.19 : 17,400.50 = 4,201.93 : x
  2. Step 2: Convert to fraction form
    11,599.19/17,400.50 = 4,201.93/x
  3. Step 3: Cross multiply
    11,599.19x = 17,400.50 × 4,201.93
  4. Step 4: Simplify right side
    11,599.19x = 73,115,628.96
  5. Step 5: Solve for x
    x = 73,115,628.96/11,599.19
  6. Step 6: Final answer
    x = 6,303.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.