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Finding the Fourth Proportional to 10,310.31, 14,231.64 and 7,334.77

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Solution

The fourth proportional to 10,310.31, 14,231.64 and 7,334.77 is: 10,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.31 : 14,231.64 = 7,334.77 : x
  2. Step 2: Convert to fraction form
    10,310.31/14,231.64 = 7,334.77/x
  3. Step 3: Cross multiply
    10,310.31x = 14,231.64 × 7,334.77
  4. Step 4: Simplify right side
    10,310.31x = 104,385,806.12
  5. Step 5: Solve for x
    x = 104,385,806.12/10,310.31
  6. Step 6: Final answer
    x = 10,124.41

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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.