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Finding the Fourth Proportional to 7,011.76, 9,676.21 and 3,867.95

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Solution

The fourth proportional to 7,011.76, 9,676.21 and 3,867.95 is: 5,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.76 : 9,676.21 = 3,867.95 : x
  2. Step 2: Convert to fraction form
    7,011.76/9,676.21 = 3,867.95/x
  3. Step 3: Cross multiply
    7,011.76x = 9,676.21 × 3,867.95
  4. Step 4: Simplify right side
    7,011.76x = 37,427,096.47
  5. Step 5: Solve for x
    x = 37,427,096.47/7,011.76
  6. Step 6: Final answer
    x = 5,337.76

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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.