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Finding the Fourth Proportional to 8,430.90, 12,646.23 and 3,813.90

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Solution

The fourth proportional to 8,430.90, 12,646.23 and 3,813.90 is: 5,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.90 : 12,646.23 = 3,813.90 : x
  2. Step 2: Convert to fraction form
    8,430.90/12,646.23 = 3,813.90/x
  3. Step 3: Cross multiply
    8,430.90x = 12,646.23 × 3,813.90
  4. Step 4: Simplify right side
    8,430.90x = 48,231,456.60
  5. Step 5: Solve for x
    x = 48,231,456.60/8,430.90
  6. Step 6: Final answer
    x = 5,720.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.