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Finding the Fourth Proportional to 10,441.70, 15,665.80 and 3,421.78

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Solution

The fourth proportional to 10,441.70, 15,665.80 and 3,421.78 is: 5,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.70 : 15,665.80 = 3,421.78 : x
  2. Step 2: Convert to fraction form
    10,441.70/15,665.80 = 3,421.78/x
  3. Step 3: Cross multiply
    10,441.70x = 15,665.80 × 3,421.78
  4. Step 4: Simplify right side
    10,441.70x = 53,604,921.12
  5. Step 5: Solve for x
    x = 53,604,921.12/10,441.70
  6. Step 6: Final answer
    x = 5,133.74

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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.