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Finding the Fourth Proportional to 8,377.44, 11,568.32 and 6,152

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Solution

The fourth proportional to 8,377.44, 11,568.32 and 6,152 is: 8,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.44 : 11,568.32 = 6,152 : x
  2. Step 2: Convert to fraction form
    8,377.44/11,568.32 = 6,152/x
  3. Step 3: Cross multiply
    8,377.44x = 11,568.32 × 6,152
  4. Step 4: Simplify right side
    8,377.44x = 71,168,304.64
  5. Step 5: Solve for x
    x = 71,168,304.64/8,377.44
  6. Step 6: Final answer
    x = 8,495.23

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Why These Related Problems?

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