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Finding the Fourth Proportional to 8,359.56, 11,537.28 and 5,490.77

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Solution

The fourth proportional to 8,359.56, 11,537.28 and 5,490.77 is: 7,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.56 : 11,537.28 = 5,490.77 : x
  2. Step 2: Convert to fraction form
    8,359.56/11,537.28 = 5,490.77/x
  3. Step 3: Cross multiply
    8,359.56x = 11,537.28 × 5,490.77
  4. Step 4: Simplify right side
    8,359.56x = 63,348,493.22
  5. Step 5: Solve for x
    x = 63,348,493.22/8,359.56
  6. Step 6: Final answer
    x = 7,577.97

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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.