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Finding the Fourth Proportional to 10,238.45, 15,347.94 and 4,002.46

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Solution

The fourth proportional to 10,238.45, 15,347.94 and 4,002.46 is: 5,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.45 : 15,347.94 = 4,002.46 : x
  2. Step 2: Convert to fraction form
    10,238.45/15,347.94 = 4,002.46/x
  3. Step 3: Cross multiply
    10,238.45x = 15,347.94 × 4,002.46
  4. Step 4: Simplify right side
    10,238.45x = 61,429,429.19
  5. Step 5: Solve for x
    x = 61,429,429.19/10,238.45
  6. Step 6: Final answer
    x = 5,999.88

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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.