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Finding the Fourth Proportional to 11,165.66, 16,749.81 and 4,923.02

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Solution

The fourth proportional to 11,165.66, 16,749.81 and 4,923.02 is: 7,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.66 : 16,749.81 = 4,923.02 : x
  2. Step 2: Convert to fraction form
    11,165.66/16,749.81 = 4,923.02/x
  3. Step 3: Cross multiply
    11,165.66x = 16,749.81 × 4,923.02
  4. Step 4: Simplify right side
    11,165.66x = 82,459,649.63
  5. Step 5: Solve for x
    x = 82,459,649.63/11,165.66
  6. Step 6: Final answer
    x = 7,385.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.