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Finding the Fourth Proportional to 8,538.16, 11,784.24 and 5,134.24

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Solution

The fourth proportional to 8,538.16, 11,784.24 and 5,134.24 is: 7,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.16 : 11,784.24 = 5,134.24 : x
  2. Step 2: Convert to fraction form
    8,538.16/11,784.24 = 5,134.24/x
  3. Step 3: Cross multiply
    8,538.16x = 11,784.24 × 5,134.24
  4. Step 4: Simplify right side
    8,538.16x = 60,503,116.38
  5. Step 5: Solve for x
    x = 60,503,116.38/8,538.16
  6. Step 6: Final answer
    x = 7,086.20

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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.