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Finding the Fourth Proportional to 11,176.16, 16,763.52 and 3,780

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Solution

The fourth proportional to 11,176.16, 16,763.52 and 3,780 is: 5,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.16 : 16,763.52 = 3,780 : x
  2. Step 2: Convert to fraction form
    11,176.16/16,763.52 = 3,780/x
  3. Step 3: Cross multiply
    11,176.16x = 16,763.52 × 3,780
  4. Step 4: Simplify right side
    11,176.16x = 63,366,105.60
  5. Step 5: Solve for x
    x = 63,366,105.60/11,176.16
  6. Step 6: Final answer
    x = 5,669.76

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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.