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Finding the Fourth Proportional to 10,159.02, 15,238.26 and 4,003.02

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Solution

The fourth proportional to 10,159.02, 15,238.26 and 4,003.02 is: 6,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.02 : 15,238.26 = 4,003.02 : x
  2. Step 2: Convert to fraction form
    10,159.02/15,238.26 = 4,003.02/x
  3. Step 3: Cross multiply
    10,159.02x = 15,238.26 × 4,003.02
  4. Step 4: Simplify right side
    10,159.02x = 60,999,059.55
  5. Step 5: Solve for x
    x = 60,999,059.55/10,159.02
  6. Step 6: Final answer
    x = 6,004.42

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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.