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Finding the Fourth Proportional to 10,967.67, 16,453.98 and 6,034.77

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Solution

The fourth proportional to 10,967.67, 16,453.98 and 6,034.77 is: 9,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.67 : 16,453.98 = 6,034.77 : x
  2. Step 2: Convert to fraction form
    10,967.67/16,453.98 = 6,034.77/x
  3. Step 3: Cross multiply
    10,967.67x = 16,453.98 × 6,034.77
  4. Step 4: Simplify right side
    10,967.67x = 99,295,984.88
  5. Step 5: Solve for x
    x = 99,295,984.88/10,967.67
  6. Step 6: Final answer
    x = 9,053.52

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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.