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Finding the Fourth Proportional to 10,472.94, 15,710.40 and 3,450.06

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Solution

The fourth proportional to 10,472.94, 15,710.40 and 3,450.06 is: 5,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.94 : 15,710.40 = 3,450.06 : x
  2. Step 2: Convert to fraction form
    10,472.94/15,710.40 = 3,450.06/x
  3. Step 3: Cross multiply
    10,472.94x = 15,710.40 × 3,450.06
  4. Step 4: Simplify right side
    10,472.94x = 54,201,822.62
  5. Step 5: Solve for x
    x = 54,201,822.62/10,472.94
  6. Step 6: Final answer
    x = 5,175.42

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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.