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Finding the Fourth Proportional to 10,354.94, 15,530.78 and 3,429.44

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Solution

The fourth proportional to 10,354.94, 15,530.78 and 3,429.44 is: 5,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.94 : 15,530.78 = 3,429.44 : x
  2. Step 2: Convert to fraction form
    10,354.94/15,530.78 = 3,429.44/x
  3. Step 3: Cross multiply
    10,354.94x = 15,530.78 × 3,429.44
  4. Step 4: Simplify right side
    10,354.94x = 53,261,800.51
  5. Step 5: Solve for x
    x = 53,261,800.51/10,354.94
  6. Step 6: Final answer
    x = 5,143.62

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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.