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Finding the Fourth Proportional to 11,653.86, 17,480.78 and 2,888.70

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Solution

The fourth proportional to 11,653.86, 17,480.78 and 2,888.70 is: 4,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.86 : 17,480.78 = 2,888.70 : x
  2. Step 2: Convert to fraction form
    11,653.86/17,480.78 = 2,888.70/x
  3. Step 3: Cross multiply
    11,653.86x = 17,480.78 × 2,888.70
  4. Step 4: Simplify right side
    11,653.86x = 50,496,729.19
  5. Step 5: Solve for x
    x = 50,496,729.19/11,653.86
  6. Step 6: Final answer
    x = 4,333.05

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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.