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Finding the Fourth Proportional to 8,542.32, 12,804.63 and 4,154.32

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Solution

The fourth proportional to 8,542.32, 12,804.63 and 4,154.32 is: 6,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.32 : 12,804.63 = 4,154.32 : x
  2. Step 2: Convert to fraction form
    8,542.32/12,804.63 = 4,154.32/x
  3. Step 3: Cross multiply
    8,542.32x = 12,804.63 × 4,154.32
  4. Step 4: Simplify right side
    8,542.32x = 53,194,530.50
  5. Step 5: Solve for x
    x = 53,194,530.50/8,542.32
  6. Step 6: Final answer
    x = 6,227.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.