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Finding the Fourth Proportional to 10,418.04, 15,615.72 and 3,838.68

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Solution

The fourth proportional to 10,418.04, 15,615.72 and 3,838.68 is: 5,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.04 : 15,615.72 = 3,838.68 : x
  2. Step 2: Convert to fraction form
    10,418.04/15,615.72 = 3,838.68/x
  3. Step 3: Cross multiply
    10,418.04x = 15,615.72 × 3,838.68
  4. Step 4: Simplify right side
    10,418.04x = 59,943,752.05
  5. Step 5: Solve for x
    x = 59,943,752.05/10,418.04
  6. Step 6: Final answer
    x = 5,753.84

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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.