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Finding the Fourth Proportional to 10,477.44, 15,709.59 and 3,898.22

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Solution

The fourth proportional to 10,477.44, 15,709.59 and 3,898.22 is: 5,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.44 : 15,709.59 = 3,898.22 : x
  2. Step 2: Convert to fraction form
    10,477.44/15,709.59 = 3,898.22/x
  3. Step 3: Cross multiply
    10,477.44x = 15,709.59 × 3,898.22
  4. Step 4: Simplify right side
    10,477.44x = 61,239,359.38
  5. Step 5: Solve for x
    x = 61,239,359.38/10,477.44
  6. Step 6: Final answer
    x = 5,844.88

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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.