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Finding the Fourth Proportional to 10,404.12, 15,602.94 and 3,477

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Solution

The fourth proportional to 10,404.12, 15,602.94 and 3,477 is: 5,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.12 : 15,602.94 = 3,477 : x
  2. Step 2: Convert to fraction form
    10,404.12/15,602.94 = 3,477/x
  3. Step 3: Cross multiply
    10,404.12x = 15,602.94 × 3,477
  4. Step 4: Simplify right side
    10,404.12x = 54,251,422.38
  5. Step 5: Solve for x
    x = 54,251,422.38/10,404.12
  6. Step 6: Final answer
    x = 5,214.42

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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.