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Finding the Fourth Proportional to 11,264.42, 15,535.47 and 8,438.44

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Solution

The fourth proportional to 11,264.42, 15,535.47 and 8,438.44 is: 11,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.42 : 15,535.47 = 8,438.44 : x
  2. Step 2: Convert to fraction form
    11,264.42/15,535.47 = 8,438.44/x
  3. Step 3: Cross multiply
    11,264.42x = 15,535.47 × 8,438.44
  4. Step 4: Simplify right side
    11,264.42x = 131,095,131.47
  5. Step 5: Solve for x
    x = 131,095,131.47/11,264.42
  6. Step 6: Final answer
    x = 11,637.98

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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.