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Finding the Fourth Proportional to 11,538.84, 17,309.63 and 4,142.67

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Solution

The fourth proportional to 11,538.84, 17,309.63 and 4,142.67 is: 6,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.84 : 17,309.63 = 4,142.67 : x
  2. Step 2: Convert to fraction form
    11,538.84/17,309.63 = 4,142.67/x
  3. Step 3: Cross multiply
    11,538.84x = 17,309.63 × 4,142.67
  4. Step 4: Simplify right side
    11,538.84x = 71,708,064.20
  5. Step 5: Solve for x
    x = 71,708,064.20/11,538.84
  6. Step 6: Final answer
    x = 6,214.50

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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.