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Finding the Fourth Proportional to 8,214.75, 11,336.76 and 4,678.16

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Solution

The fourth proportional to 8,214.75, 11,336.76 and 4,678.16 is: 6,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 11,336.76 = 4,678.16 : x
  2. Step 2: Convert to fraction form
    8,214.75/11,336.76 = 4,678.16/x
  3. Step 3: Cross multiply
    8,214.75x = 11,336.76 × 4,678.16
  4. Step 4: Simplify right side
    8,214.75x = 53,035,120.48
  5. Step 5: Solve for x
    x = 53,035,120.48/8,214.75
  6. Step 6: Final answer
    x = 6,456.08

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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.