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Finding the Fourth Proportional to 10,435.56, 15,649.32 and 3,413.76

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Solution

The fourth proportional to 10,435.56, 15,649.32 and 3,413.76 is: 5,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.56 : 15,649.32 = 3,413.76 : x
  2. Step 2: Convert to fraction form
    10,435.56/15,649.32 = 3,413.76/x
  3. Step 3: Cross multiply
    10,435.56x = 15,649.32 × 3,413.76
  4. Step 4: Simplify right side
    10,435.56x = 53,423,022.64
  5. Step 5: Solve for x
    x = 53,423,022.64/10,435.56
  6. Step 6: Final answer
    x = 5,119.32

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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.