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Finding the Fourth Proportional to 10,153.77, 15,193.73 and 8,382.30

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Solution

The fourth proportional to 10,153.77, 15,193.73 and 8,382.30 is: 12,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.77 : 15,193.73 = 8,382.30 : x
  2. Step 2: Convert to fraction form
    10,153.77/15,193.73 = 8,382.30/x
  3. Step 3: Cross multiply
    10,153.77x = 15,193.73 × 8,382.30
  4. Step 4: Simplify right side
    10,153.77x = 127,358,361.07
  5. Step 5: Solve for x
    x = 127,358,361.07/10,153.77
  6. Step 6: Final answer
    x = 12,542.96

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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.