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Finding the Fourth Proportional to 11,264.17, 15,544.42 and 6,228.40

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Solution

The fourth proportional to 11,264.17, 15,544.42 and 6,228.40 is: 8,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.17 : 15,544.42 = 6,228.40 : x
  2. Step 2: Convert to fraction form
    11,264.17/15,544.42 = 6,228.40/x
  3. Step 3: Cross multiply
    11,264.17x = 15,544.42 × 6,228.40
  4. Step 4: Simplify right side
    11,264.17x = 96,816,865.53
  5. Step 5: Solve for x
    x = 96,816,865.53/11,264.17
  6. Step 6: Final answer
    x = 8,595.12

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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.