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Finding the Fourth Proportional to 8,430.76, 11,630.82 and 5,286.34

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Solution

The fourth proportional to 8,430.76, 11,630.82 and 5,286.34 is: 7,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.76 : 11,630.82 = 5,286.34 : x
  2. Step 2: Convert to fraction form
    8,430.76/11,630.82 = 5,286.34/x
  3. Step 3: Cross multiply
    8,430.76x = 11,630.82 × 5,286.34
  4. Step 4: Simplify right side
    8,430.76x = 61,484,469.00
  5. Step 5: Solve for x
    x = 61,484,469.00/8,430.76
  6. Step 6: Final answer
    x = 7,292.87

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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.