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Finding the Fourth Proportional to 11,686.64, 16,127.92 and 6,382

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Solution

The fourth proportional to 11,686.64, 16,127.92 and 6,382 is: 8,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.64 : 16,127.92 = 6,382 : x
  2. Step 2: Convert to fraction form
    11,686.64/16,127.92 = 6,382/x
  3. Step 3: Cross multiply
    11,686.64x = 16,127.92 × 6,382
  4. Step 4: Simplify right side
    11,686.64x = 102,928,385.44
  5. Step 5: Solve for x
    x = 102,928,385.44/11,686.64
  6. Step 6: Final answer
    x = 8,807.35

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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.