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Finding the Fourth Proportional to 11,572.20, 15,968.88 and 7,380

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Solution

The fourth proportional to 11,572.20, 15,968.88 and 7,380 is: 10,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.20 : 15,968.88 = 7,380 : x
  2. Step 2: Convert to fraction form
    11,572.20/15,968.88 = 7,380/x
  3. Step 3: Cross multiply
    11,572.20x = 15,968.88 × 7,380
  4. Step 4: Simplify right side
    11,572.20x = 117,850,334.40
  5. Step 5: Solve for x
    x = 117,850,334.40/11,572.20
  6. Step 6: Final answer
    x = 10,183.92

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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.