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Finding the Fourth Proportional to 35,188, 52,786.32 and 10,564

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Solution

The fourth proportional to 35,188, 52,786.32 and 10,564 is: 15,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188 : 52,786.32 = 10,564 : x
  2. Step 2: Convert to fraction form
    35,188/52,786.32 = 10,564/x
  3. Step 3: Cross multiply
    35,188x = 52,786.32 × 10,564
  4. Step 4: Simplify right side
    35,188x = 557,634,684.48
  5. Step 5: Solve for x
    x = 557,634,684.48/35,188
  6. Step 6: Final answer
    x = 15,847.30

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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.