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Finding the Fourth Proportional to 7,602.87, 11,404.30 and 5,536.03

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Solution

The fourth proportional to 7,602.87, 11,404.30 and 5,536.03 is: 8,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.87 : 11,404.30 = 5,536.03 : x
  2. Step 2: Convert to fraction form
    7,602.87/11,404.30 = 5,536.03/x
  3. Step 3: Cross multiply
    7,602.87x = 11,404.30 × 5,536.03
  4. Step 4: Simplify right side
    7,602.87x = 63,134,489.91
  5. Step 5: Solve for x
    x = 63,134,489.91/7,602.87
  6. Step 6: Final answer
    x = 8,304.03

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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.