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Finding the Fourth Proportional to 8,154.32, 11,253.06 and 4,617.44

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Solution

The fourth proportional to 8,154.32, 11,253.06 and 4,617.44 is: 6,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.32 : 11,253.06 = 4,617.44 : x
  2. Step 2: Convert to fraction form
    8,154.32/11,253.06 = 4,617.44/x
  3. Step 3: Cross multiply
    8,154.32x = 11,253.06 × 4,617.44
  4. Step 4: Simplify right side
    8,154.32x = 51,960,329.37
  5. Step 5: Solve for x
    x = 51,960,329.37/8,154.32
  6. Step 6: Final answer
    x = 6,372.12

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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.