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Finding the Fourth Proportional to 10,403.77, 15,604.12 and 3,828.43

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Solution

The fourth proportional to 10,403.77, 15,604.12 and 3,828.43 is: 5,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.77 : 15,604.12 = 3,828.43 : x
  2. Step 2: Convert to fraction form
    10,403.77/15,604.12 = 3,828.43/x
  3. Step 3: Cross multiply
    10,403.77x = 15,604.12 × 3,828.43
  4. Step 4: Simplify right side
    10,403.77x = 59,739,281.13
  5. Step 5: Solve for x
    x = 59,739,281.13/10,403.77
  6. Step 6: Final answer
    x = 5,742.08

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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.