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Finding the Fourth Proportional to 11,740.95, 16,202.16 and 6,435.59

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Solution

The fourth proportional to 11,740.95, 16,202.16 and 6,435.59 is: 8,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.95 : 16,202.16 = 6,435.59 : x
  2. Step 2: Convert to fraction form
    11,740.95/16,202.16 = 6,435.59/x
  3. Step 3: Cross multiply
    11,740.95x = 16,202.16 × 6,435.59
  4. Step 4: Simplify right side
    11,740.95x = 104,270,377.86
  5. Step 5: Solve for x
    x = 104,270,377.86/11,740.95
  6. Step 6: Final answer
    x = 8,880.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.