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Finding the Fourth Proportional to 10,738.80, 16,108.20 and 7,458.30

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Solution

The fourth proportional to 10,738.80, 16,108.20 and 7,458.30 is: 11,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.80 : 16,108.20 = 7,458.30 : x
  2. Step 2: Convert to fraction form
    10,738.80/16,108.20 = 7,458.30/x
  3. Step 3: Cross multiply
    10,738.80x = 16,108.20 × 7,458.30
  4. Step 4: Simplify right side
    10,738.80x = 120,139,788.06
  5. Step 5: Solve for x
    x = 120,139,788.06/10,738.80
  6. Step 6: Final answer
    x = 11,187.45

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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.