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Finding the Fourth Proportional to 8,263.76, 11,404.19 and 4,678.97

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Solution

The fourth proportional to 8,263.76, 11,404.19 and 4,678.97 is: 6,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.76 : 11,404.19 = 4,678.97 : x
  2. Step 2: Convert to fraction form
    8,263.76/11,404.19 = 4,678.97/x
  3. Step 3: Cross multiply
    8,263.76x = 11,404.19 × 4,678.97
  4. Step 4: Simplify right side
    8,263.76x = 53,359,817.56
  5. Step 5: Solve for x
    x = 53,359,817.56/8,263.76
  6. Step 6: Final answer
    x = 6,457.09

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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.