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Finding the Fourth Proportional to 10,321.60, 14,243.82 and 5,605.87

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Solution

The fourth proportional to 10,321.60, 14,243.82 and 5,605.87 is: 7,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.60 : 14,243.82 = 5,605.87 : x
  2. Step 2: Convert to fraction form
    10,321.60/14,243.82 = 5,605.87/x
  3. Step 3: Cross multiply
    10,321.60x = 14,243.82 × 5,605.87
  4. Step 4: Simplify right side
    10,321.60x = 79,849,003.22
  5. Step 5: Solve for x
    x = 79,849,003.22/10,321.60
  6. Step 6: Final answer
    x = 7,736.11

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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.