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Finding the Fourth Proportional to 10,389.01, 15,574.26 and 3,813.67

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Solution

The fourth proportional to 10,389.01, 15,574.26 and 3,813.67 is: 5,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.01 : 15,574.26 = 3,813.67 : x
  2. Step 2: Convert to fraction form
    10,389.01/15,574.26 = 3,813.67/x
  3. Step 3: Cross multiply
    10,389.01x = 15,574.26 × 3,813.67
  4. Step 4: Simplify right side
    10,389.01x = 59,394,991.19
  5. Step 5: Solve for x
    x = 59,394,991.19/10,389.01
  6. Step 6: Final answer
    x = 5,717.10

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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.