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Finding the Fourth Proportional to 10,403.46, 15,605.19 and 3,477.96

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Solution

The fourth proportional to 10,403.46, 15,605.19 and 3,477.96 is: 5,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.46 : 15,605.19 = 3,477.96 : x
  2. Step 2: Convert to fraction form
    10,403.46/15,605.19 = 3,477.96/x
  3. Step 3: Cross multiply
    10,403.46x = 15,605.19 × 3,477.96
  4. Step 4: Simplify right side
    10,403.46x = 54,274,148.59
  5. Step 5: Solve for x
    x = 54,274,148.59/10,403.46
  6. Step 6: Final answer
    x = 5,216.94

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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.