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Finding the Fourth Proportional to 8,508.64, 11,742.16 and 5,152.04

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Solution

The fourth proportional to 8,508.64, 11,742.16 and 5,152.04 is: 7,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.64 : 11,742.16 = 5,152.04 : x
  2. Step 2: Convert to fraction form
    8,508.64/11,742.16 = 5,152.04/x
  3. Step 3: Cross multiply
    8,508.64x = 11,742.16 × 5,152.04
  4. Step 4: Simplify right side
    8,508.64x = 60,496,078.01
  5. Step 5: Solve for x
    x = 60,496,078.01/8,508.64
  6. Step 6: Final answer
    x = 7,109.96

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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.