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Finding the Fourth Proportional to 10,411.98, 15,604.56 and 3,830.37

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Solution

The fourth proportional to 10,411.98, 15,604.56 and 3,830.37 is: 5,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.98 : 15,604.56 = 3,830.37 : x
  2. Step 2: Convert to fraction form
    10,411.98/15,604.56 = 3,830.37/x
  3. Step 3: Cross multiply
    10,411.98x = 15,604.56 × 3,830.37
  4. Step 4: Simplify right side
    10,411.98x = 59,771,238.49
  5. Step 5: Solve for x
    x = 59,771,238.49/10,411.98
  6. Step 6: Final answer
    x = 5,740.62

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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.