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Finding the Fourth Proportional to 11,900.84, 17,849.49 and 3,135.74

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Solution

The fourth proportional to 11,900.84, 17,849.49 and 3,135.74 is: 4,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.84 : 17,849.49 = 3,135.74 : x
  2. Step 2: Convert to fraction form
    11,900.84/17,849.49 = 3,135.74/x
  3. Step 3: Cross multiply
    11,900.84x = 17,849.49 × 3,135.74
  4. Step 4: Simplify right side
    11,900.84x = 55,971,270.53
  5. Step 5: Solve for x
    x = 55,971,270.53/11,900.84
  6. Step 6: Final answer
    x = 4,703.14

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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.