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Finding the Fourth Proportional to 8,356, 11,531.28 and 4,630.72

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Solution

The fourth proportional to 8,356, 11,531.28 and 4,630.72 is: 6,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356 : 11,531.28 = 4,630.72 : x
  2. Step 2: Convert to fraction form
    8,356/11,531.28 = 4,630.72/x
  3. Step 3: Cross multiply
    8,356x = 11,531.28 × 4,630.72
  4. Step 4: Simplify right side
    8,356x = 53,398,128.92
  5. Step 5: Solve for x
    x = 53,398,128.92/8,356
  6. Step 6: Final answer
    x = 6,390.39

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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.