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Finding the Fourth Proportional to 8,140.88, 11,234.97 and 4,604.10

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Solution

The fourth proportional to 8,140.88, 11,234.97 and 4,604.10 is: 6,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.88 : 11,234.97 = 4,604.10 : x
  2. Step 2: Convert to fraction form
    8,140.88/11,234.97 = 4,604.10/x
  3. Step 3: Cross multiply
    8,140.88x = 11,234.97 × 4,604.10
  4. Step 4: Simplify right side
    8,140.88x = 51,726,925.38
  5. Step 5: Solve for x
    x = 51,726,925.38/8,140.88
  6. Step 6: Final answer
    x = 6,353.98

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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.