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Finding the Fourth Proportional to 11,382, 15,707.16 and 6,414

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Solution

The fourth proportional to 11,382, 15,707.16 and 6,414 is: 8,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382 : 15,707.16 = 6,414 : x
  2. Step 2: Convert to fraction form
    11,382/15,707.16 = 6,414/x
  3. Step 3: Cross multiply
    11,382x = 15,707.16 × 6,414
  4. Step 4: Simplify right side
    11,382x = 100,745,724.24
  5. Step 5: Solve for x
    x = 100,745,724.24/11,382
  6. Step 6: Final answer
    x = 8,851.32

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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.