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Finding the Fourth Proportional to 10,522.34, 15,786.06 and 3,502.34

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Solution

The fourth proportional to 10,522.34, 15,786.06 and 3,502.34 is: 5,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.34 : 15,786.06 = 3,502.34 : x
  2. Step 2: Convert to fraction form
    10,522.34/15,786.06 = 3,502.34/x
  3. Step 3: Cross multiply
    10,522.34x = 15,786.06 × 3,502.34
  4. Step 4: Simplify right side
    10,522.34x = 55,288,149.38
  5. Step 5: Solve for x
    x = 55,288,149.38/10,522.34
  6. Step 6: Final answer
    x = 5,254.36

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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.