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Finding the Fourth Proportional to 8,382, 11,567.16 and 4,656

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Solution

The fourth proportional to 8,382, 11,567.16 and 4,656 is: 6,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382 : 11,567.16 = 4,656 : x
  2. Step 2: Convert to fraction form
    8,382/11,567.16 = 4,656/x
  3. Step 3: Cross multiply
    8,382x = 11,567.16 × 4,656
  4. Step 4: Simplify right side
    8,382x = 53,856,696.96
  5. Step 5: Solve for x
    x = 53,856,696.96/8,382
  6. Step 6: Final answer
    x = 6,425.28

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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.