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Finding the Fourth Proportional to 11,558.32, 15,952.11 and 6,524.56

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Solution

The fourth proportional to 11,558.32, 15,952.11 and 6,524.56 is: 9,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.32 : 15,952.11 = 6,524.56 : x
  2. Step 2: Convert to fraction form
    11,558.32/15,952.11 = 6,524.56/x
  3. Step 3: Cross multiply
    11,558.32x = 15,952.11 × 6,524.56
  4. Step 4: Simplify right side
    11,558.32x = 104,080,498.82
  5. Step 5: Solve for x
    x = 104,080,498.82/11,558.32
  6. Step 6: Final answer
    x = 9,004.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.