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Finding the Fourth Proportional to 10,775.67, 14,865.44 and 6,299.61

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Solution

The fourth proportional to 10,775.67, 14,865.44 and 6,299.61 is: 8,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.67 : 14,865.44 = 6,299.61 : x
  2. Step 2: Convert to fraction form
    10,775.67/14,865.44 = 6,299.61/x
  3. Step 3: Cross multiply
    10,775.67x = 14,865.44 × 6,299.61
  4. Step 4: Simplify right side
    10,775.67x = 93,646,442.98
  5. Step 5: Solve for x
    x = 93,646,442.98/10,775.67
  6. Step 6: Final answer
    x = 8,690.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.