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Finding the Fourth Proportional to 11,242.40, 16,856.40 and 4,671.20

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Solution

The fourth proportional to 11,242.40, 16,856.40 and 4,671.20 is: 7,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.40 : 16,856.40 = 4,671.20 : x
  2. Step 2: Convert to fraction form
    11,242.40/16,856.40 = 4,671.20/x
  3. Step 3: Cross multiply
    11,242.40x = 16,856.40 × 4,671.20
  4. Step 4: Simplify right side
    11,242.40x = 78,739,615.68
  5. Step 5: Solve for x
    x = 78,739,615.68/11,242.40
  6. Step 6: Final answer
    x = 7,003.81

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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.