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Finding the Fourth Proportional to 7,164.51, 10,751 and 3,877.53

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Solution

The fourth proportional to 7,164.51, 10,751 and 3,877.53 is: 5,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.51 : 10,751 = 3,877.53 : x
  2. Step 2: Convert to fraction form
    7,164.51/10,751 = 3,877.53/x
  3. Step 3: Cross multiply
    7,164.51x = 10,751 × 3,877.53
  4. Step 4: Simplify right side
    7,164.51x = 41,687,325.03
  5. Step 5: Solve for x
    x = 41,687,325.03/7,164.51
  6. Step 6: Final answer
    x = 5,818.59

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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.