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Finding the Fourth Proportional to 11,421, 17,132.87 and 4,023.93

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Solution

The fourth proportional to 11,421, 17,132.87 and 4,023.93 is: 6,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 17,132.87 = 4,023.93 : x
  2. Step 2: Convert to fraction form
    11,421/17,132.87 = 4,023.93/x
  3. Step 3: Cross multiply
    11,421x = 17,132.87 × 4,023.93
  4. Step 4: Simplify right side
    11,421x = 68,941,469.58
  5. Step 5: Solve for x
    x = 68,941,469.58/11,421
  6. Step 6: Final answer
    x = 6,036.38

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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.