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Finding the Fourth Proportional to 8,358.76, 11,527.14 and 6,365.80

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Solution

The fourth proportional to 8,358.76, 11,527.14 and 6,365.80 is: 8,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.76 : 11,527.14 = 6,365.80 : x
  2. Step 2: Convert to fraction form
    8,358.76/11,527.14 = 6,365.80/x
  3. Step 3: Cross multiply
    8,358.76x = 11,527.14 × 6,365.80
  4. Step 4: Simplify right side
    8,358.76x = 73,379,467.81
  5. Step 5: Solve for x
    x = 73,379,467.81/8,358.76
  6. Step 6: Final answer
    x = 8,778.75

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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.