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Finding the Fourth Proportional to 11,918.56, 17,874.84 and 4,900.53

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Solution

The fourth proportional to 11,918.56, 17,874.84 and 4,900.53 is: 7,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.56 : 17,874.84 = 4,900.53 : x
  2. Step 2: Convert to fraction form
    11,918.56/17,874.84 = 4,900.53/x
  3. Step 3: Cross multiply
    11,918.56x = 17,874.84 × 4,900.53
  4. Step 4: Simplify right side
    11,918.56x = 87,596,275.07
  5. Step 5: Solve for x
    x = 87,596,275.07/11,918.56
  6. Step 6: Final answer
    x = 7,349.57

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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.