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Finding the Fourth Proportional to 11,538.09, 15,922.23 and 6,502.22

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Solution

The fourth proportional to 11,538.09, 15,922.23 and 6,502.22 is: 8,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.09 : 15,922.23 = 6,502.22 : x
  2. Step 2: Convert to fraction form
    11,538.09/15,922.23 = 6,502.22/x
  3. Step 3: Cross multiply
    11,538.09x = 15,922.23 × 6,502.22
  4. Step 4: Simplify right side
    11,538.09x = 103,529,762.74
  5. Step 5: Solve for x
    x = 103,529,762.74/11,538.09
  6. Step 6: Final answer
    x = 8,972.87

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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.