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Finding the Fourth Proportional to 8,462.48, 11,678.61 and 4,877.96

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Solution

The fourth proportional to 8,462.48, 11,678.61 and 4,877.96 is: 6,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.48 : 11,678.61 = 4,877.96 : x
  2. Step 2: Convert to fraction form
    8,462.48/11,678.61 = 4,877.96/x
  3. Step 3: Cross multiply
    8,462.48x = 11,678.61 × 4,877.96
  4. Step 4: Simplify right side
    8,462.48x = 56,967,752.33
  5. Step 5: Solve for x
    x = 56,967,752.33/8,462.48
  6. Step 6: Final answer
    x = 6,731.81

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