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Finding the Fourth Proportional to 8,530.05, 11,769.76 and 4,992.58

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Solution

The fourth proportional to 8,530.05, 11,769.76 and 4,992.58 is: 6,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.05 : 11,769.76 = 4,992.58 : x
  2. Step 2: Convert to fraction form
    8,530.05/11,769.76 = 4,992.58/x
  3. Step 3: Cross multiply
    8,530.05x = 11,769.76 × 4,992.58
  4. Step 4: Simplify right side
    8,530.05x = 58,761,468.38
  5. Step 5: Solve for x
    x = 58,761,468.38/8,530.05
  6. Step 6: Final answer
    x = 6,888.76

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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.