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Finding the Fourth Proportional to 11,165.14, 16,746.15 and 3,768.64

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Solution

The fourth proportional to 11,165.14, 16,746.15 and 3,768.64 is: 5,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.14 : 16,746.15 = 3,768.64 : x
  2. Step 2: Convert to fraction form
    11,165.14/16,746.15 = 3,768.64/x
  3. Step 3: Cross multiply
    11,165.14x = 16,746.15 × 3,768.64
  4. Step 4: Simplify right side
    11,165.14x = 63,110,210.74
  5. Step 5: Solve for x
    x = 63,110,210.74/11,165.14
  6. Step 6: Final answer
    x = 5,652.43

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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.