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Finding the Fourth Proportional to 10,286.85, 15,421.04 and 3,711.51

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Solution

The fourth proportional to 10,286.85, 15,421.04 and 3,711.51 is: 5,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.85 : 15,421.04 = 3,711.51 : x
  2. Step 2: Convert to fraction form
    10,286.85/15,421.04 = 3,711.51/x
  3. Step 3: Cross multiply
    10,286.85x = 15,421.04 × 3,711.51
  4. Step 4: Simplify right side
    10,286.85x = 57,235,325.61
  5. Step 5: Solve for x
    x = 57,235,325.61/10,286.85
  6. Step 6: Final answer
    x = 5,563.93

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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.