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Finding the Fourth Proportional to 8,462.46, 11,678.68 and 4,686.39

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Solution

The fourth proportional to 8,462.46, 11,678.68 and 4,686.39 is: 6,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.46 : 11,678.68 = 4,686.39 : x
  2. Step 2: Convert to fraction form
    8,462.46/11,678.68 = 4,686.39/x
  3. Step 3: Cross multiply
    8,462.46x = 11,678.68 × 4,686.39
  4. Step 4: Simplify right side
    8,462.46x = 54,730,849.17
  5. Step 5: Solve for x
    x = 54,730,849.17/8,462.46
  6. Step 6: Final answer
    x = 6,467.49

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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.