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Finding the Fourth Proportional to 11,348, 15,660.24 and 6,380

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Solution

The fourth proportional to 11,348, 15,660.24 and 6,380 is: 8,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348 : 15,660.24 = 6,380 : x
  2. Step 2: Convert to fraction form
    11,348/15,660.24 = 6,380/x
  3. Step 3: Cross multiply
    11,348x = 15,660.24 × 6,380
  4. Step 4: Simplify right side
    11,348x = 99,912,331.20
  5. Step 5: Solve for x
    x = 99,912,331.20/11,348
  6. Step 6: Final answer
    x = 8,804.40

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