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Finding the Fourth Proportional to 11,264.81, 15,544.95 and 6,160.23

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Solution

The fourth proportional to 11,264.81, 15,544.95 and 6,160.23 is: 8,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.81 : 15,544.95 = 6,160.23 : x
  2. Step 2: Convert to fraction form
    11,264.81/15,544.95 = 6,160.23/x
  3. Step 3: Cross multiply
    11,264.81x = 15,544.95 × 6,160.23
  4. Step 4: Simplify right side
    11,264.81x = 95,760,467.34
  5. Step 5: Solve for x
    x = 95,760,467.34/11,264.81
  6. Step 6: Final answer
    x = 8,500.85

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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.