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Finding the Fourth Proportional to 10,355, 15,532.62 and 2,563.88

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Solution

The fourth proportional to 10,355, 15,532.62 and 2,563.88 is: 3,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355 : 15,532.62 = 2,563.88 : x
  2. Step 2: Convert to fraction form
    10,355/15,532.62 = 2,563.88/x
  3. Step 3: Cross multiply
    10,355x = 15,532.62 × 2,563.88
  4. Step 4: Simplify right side
    10,355x = 39,823,773.77
  5. Step 5: Solve for x
    x = 39,823,773.77/10,355
  6. Step 6: Final answer
    x = 3,845.85

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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.