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Finding the Fourth Proportional to 10,429.76, 15,644.74 and 2,638.58

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Solution

The fourth proportional to 10,429.76, 15,644.74 and 2,638.58 is: 3,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.76 : 15,644.74 = 2,638.58 : x
  2. Step 2: Convert to fraction form
    10,429.76/15,644.74 = 2,638.58/x
  3. Step 3: Cross multiply
    10,429.76x = 15,644.74 × 2,638.58
  4. Step 4: Simplify right side
    10,429.76x = 41,279,898.07
  5. Step 5: Solve for x
    x = 41,279,898.07/10,429.76
  6. Step 6: Final answer
    x = 3,957.90

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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.