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Finding the Fourth Proportional to 10,477.80, 15,714.90 and 3,900.60

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Solution

The fourth proportional to 10,477.80, 15,714.90 and 3,900.60 is: 5,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.80 : 15,714.90 = 3,900.60 : x
  2. Step 2: Convert to fraction form
    10,477.80/15,714.90 = 3,900.60/x
  3. Step 3: Cross multiply
    10,477.80x = 15,714.90 × 3,900.60
  4. Step 4: Simplify right side
    10,477.80x = 61,297,538.94
  5. Step 5: Solve for x
    x = 61,297,538.94/10,477.80
  6. Step 6: Final answer
    x = 5,850.23

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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.