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Finding the Fourth Proportional to 10,129.63, 15,193.79 and 3,803.26

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Solution

The fourth proportional to 10,129.63, 15,193.79 and 3,803.26 is: 5,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.63 : 15,193.79 = 3,803.26 : x
  2. Step 2: Convert to fraction form
    10,129.63/15,193.79 = 3,803.26/x
  3. Step 3: Cross multiply
    10,129.63x = 15,193.79 × 3,803.26
  4. Step 4: Simplify right side
    10,129.63x = 57,785,933.76
  5. Step 5: Solve for x
    x = 57,785,933.76/10,129.63
  6. Step 6: Final answer
    x = 5,704.64

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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.