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Finding the Fourth Proportional to 11,355.20, 15,671.16 and 6,321.20

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Solution

The fourth proportional to 11,355.20, 15,671.16 and 6,321.20 is: 8,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.20 : 15,671.16 = 6,321.20 : x
  2. Step 2: Convert to fraction form
    11,355.20/15,671.16 = 6,321.20/x
  3. Step 3: Cross multiply
    11,355.20x = 15,671.16 × 6,321.20
  4. Step 4: Simplify right side
    11,355.20x = 99,060,536.59
  5. Step 5: Solve for x
    x = 99,060,536.59/11,355.20
  6. Step 6: Final answer
    x = 8,723.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.