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Finding the Fourth Proportional to 10,203.76, 15,281.34 and 7,086.88

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Solution

The fourth proportional to 10,203.76, 15,281.34 and 7,086.88 is: 10,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.76 : 15,281.34 = 7,086.88 : x
  2. Step 2: Convert to fraction form
    10,203.76/15,281.34 = 7,086.88/x
  3. Step 3: Cross multiply
    10,203.76x = 15,281.34 × 7,086.88
  4. Step 4: Simplify right side
    10,203.76x = 108,297,022.82
  5. Step 5: Solve for x
    x = 108,297,022.82/10,203.76
  6. Step 6: Final answer
    x = 10,613.44

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