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Finding the Fourth Proportional to 8,021.42, 11,071.46 and 4,877

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Solution

The fourth proportional to 8,021.42, 11,071.46 and 4,877 is: 6,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.42 : 11,071.46 = 4,877 : x
  2. Step 2: Convert to fraction form
    8,021.42/11,071.46 = 4,877/x
  3. Step 3: Cross multiply
    8,021.42x = 11,071.46 × 4,877
  4. Step 4: Simplify right side
    8,021.42x = 53,995,486.04
  5. Step 5: Solve for x
    x = 53,995,486.04/8,021.42
  6. Step 6: Final answer
    x = 6,731.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.