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Finding the Fourth Proportional to 10,900.67, 16,346.69 and 7,029.95

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Solution

The fourth proportional to 10,900.67, 16,346.69 and 7,029.95 is: 10,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.67 : 16,346.69 = 7,029.95 : x
  2. Step 2: Convert to fraction form
    10,900.67/16,346.69 = 7,029.95/x
  3. Step 3: Cross multiply
    10,900.67x = 16,346.69 × 7,029.95
  4. Step 4: Simplify right side
    10,900.67x = 114,916,378.22
  5. Step 5: Solve for x
    x = 114,916,378.22/10,900.67
  6. Step 6: Final answer
    x = 10,542.14

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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.