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Finding the Fourth Proportional to 10,446.37, 15,668.82 and 4,900.93

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Solution

The fourth proportional to 10,446.37, 15,668.82 and 4,900.93 is: 7,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.37 : 15,668.82 = 4,900.93 : x
  2. Step 2: Convert to fraction form
    10,446.37/15,668.82 = 4,900.93/x
  3. Step 3: Cross multiply
    10,446.37x = 15,668.82 × 4,900.93
  4. Step 4: Simplify right side
    10,446.37x = 76,791,790.00
  5. Step 5: Solve for x
    x = 76,791,790.00/10,446.37
  6. Step 6: Final answer
    x = 7,351.05

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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.