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Finding the Fourth Proportional to 10,448.64, 15,673.16 and 4,898.96

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Solution

The fourth proportional to 10,448.64, 15,673.16 and 4,898.96 is: 7,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.64 : 15,673.16 = 4,898.96 : x
  2. Step 2: Convert to fraction form
    10,448.64/15,673.16 = 4,898.96/x
  3. Step 3: Cross multiply
    10,448.64x = 15,673.16 × 4,898.96
  4. Step 4: Simplify right side
    10,448.64x = 76,782,183.91
  5. Step 5: Solve for x
    x = 76,782,183.91/10,448.64
  6. Step 6: Final answer
    x = 7,348.53

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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.