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Finding the Fourth Proportional to 10,430.66, 14,396.01 and 5,954.60

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Solution

The fourth proportional to 10,430.66, 14,396.01 and 5,954.60 is: 8,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.66 : 14,396.01 = 5,954.60 : x
  2. Step 2: Convert to fraction form
    10,430.66/14,396.01 = 5,954.60/x
  3. Step 3: Cross multiply
    10,430.66x = 14,396.01 × 5,954.60
  4. Step 4: Simplify right side
    10,430.66x = 85,722,481.15
  5. Step 5: Solve for x
    x = 85,722,481.15/10,430.66
  6. Step 6: Final answer
    x = 8,218.32

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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.