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Finding the Fourth Proportional to 11,977.38, 16,539.24 and 7,508.83

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Solution

The fourth proportional to 11,977.38, 16,539.24 and 7,508.83 is: 10,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.38 : 16,539.24 = 7,508.83 : x
  2. Step 2: Convert to fraction form
    11,977.38/16,539.24 = 7,508.83/x
  3. Step 3: Cross multiply
    11,977.38x = 16,539.24 × 7,508.83
  4. Step 4: Simplify right side
    11,977.38x = 124,190,341.49
  5. Step 5: Solve for x
    x = 124,190,341.49/11,977.38
  6. Step 6: Final answer
    x = 10,368.74

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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.