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Finding the Fourth Proportional to 7,465.73, 11,167.82 and 6,134.50

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Solution

The fourth proportional to 7,465.73, 11,167.82 and 6,134.50 is: 9,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.73 : 11,167.82 = 6,134.50 : x
  2. Step 2: Convert to fraction form
    7,465.73/11,167.82 = 6,134.50/x
  3. Step 3: Cross multiply
    7,465.73x = 11,167.82 × 6,134.50
  4. Step 4: Simplify right side
    7,465.73x = 68,508,905.28
  5. Step 5: Solve for x
    x = 68,508,905.28/7,465.73
  6. Step 6: Final answer
    x = 9,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.