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Finding the Fourth Proportional to 8,462.63, 11,678.43 and 4,736.63

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Solution

The fourth proportional to 8,462.63, 11,678.43 and 4,736.63 is: 6,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.63 : 11,678.43 = 4,736.63 : x
  2. Step 2: Convert to fraction form
    8,462.63/11,678.43 = 4,736.63/x
  3. Step 3: Cross multiply
    8,462.63x = 11,678.43 × 4,736.63
  4. Step 4: Simplify right side
    8,462.63x = 55,316,343.50
  5. Step 5: Solve for x
    x = 55,316,343.50/8,462.63
  6. Step 6: Final answer
    x = 6,536.55

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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.