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Finding the Fourth Proportional to 8,037, 11,091.30 and 4,680.98

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Solution

The fourth proportional to 8,037, 11,091.30 and 4,680.98 is: 6,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 11,091.30 = 4,680.98 : x
  2. Step 2: Convert to fraction form
    8,037/11,091.30 = 4,680.98/x
  3. Step 3: Cross multiply
    8,037x = 11,091.30 × 4,680.98
  4. Step 4: Simplify right side
    8,037x = 51,918,153.47
  5. Step 5: Solve for x
    x = 51,918,153.47/8,037
  6. Step 6: Final answer
    x = 6,459.89

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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.