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Finding the Fourth Proportional to 10,321.30, 14,243.16 and 5,605.48

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Solution

The fourth proportional to 10,321.30, 14,243.16 and 5,605.48 is: 7,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.30 : 14,243.16 = 5,605.48 : x
  2. Step 2: Convert to fraction form
    10,321.30/14,243.16 = 5,605.48/x
  3. Step 3: Cross multiply
    10,321.30x = 14,243.16 × 5,605.48
  4. Step 4: Simplify right side
    10,321.30x = 79,839,748.52
  5. Step 5: Solve for x
    x = 79,839,748.52/10,321.30
  6. Step 6: Final answer
    x = 7,735.44

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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.