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Finding the Fourth Proportional to 8,430.21, 11,726.64 and 8,269.83

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Solution

The fourth proportional to 8,430.21, 11,726.64 and 8,269.83 is: 11,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.21 : 11,726.64 = 8,269.83 : x
  2. Step 2: Convert to fraction form
    8,430.21/11,726.64 = 8,269.83/x
  3. Step 3: Cross multiply
    8,430.21x = 11,726.64 × 8,269.83
  4. Step 4: Simplify right side
    8,430.21x = 96,977,319.27
  5. Step 5: Solve for x
    x = 96,977,319.27/8,430.21
  6. Step 6: Final answer
    x = 11,503.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.