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Finding the Fourth Proportional to 11,461.50, 15,817.38 and 6,425.82

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Solution

The fourth proportional to 11,461.50, 15,817.38 and 6,425.82 is: 8,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.50 : 15,817.38 = 6,425.82 : x
  2. Step 2: Convert to fraction form
    11,461.50/15,817.38 = 6,425.82/x
  3. Step 3: Cross multiply
    11,461.50x = 15,817.38 × 6,425.82
  4. Step 4: Simplify right side
    11,461.50x = 101,639,636.75
  5. Step 5: Solve for x
    x = 101,639,636.75/11,461.50
  6. Step 6: Final answer
    x = 8,867.92

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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.