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Finding the Fourth Proportional to 10,384.67, 15,567.29 and 5,757.95

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Solution

The fourth proportional to 10,384.67, 15,567.29 and 5,757.95 is: 8,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.67 : 15,567.29 = 5,757.95 : x
  2. Step 2: Convert to fraction form
    10,384.67/15,567.29 = 5,757.95/x
  3. Step 3: Cross multiply
    10,384.67x = 15,567.29 × 5,757.95
  4. Step 4: Simplify right side
    10,384.67x = 89,635,709.18
  5. Step 5: Solve for x
    x = 89,635,709.18/10,384.67
  6. Step 6: Final answer
    x = 8,631.54

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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.