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Finding the Fourth Proportional to 10,376.25, 15,564.23 and 4,826.49

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Solution

The fourth proportional to 10,376.25, 15,564.23 and 4,826.49 is: 7,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.25 : 15,564.23 = 4,826.49 : x
  2. Step 2: Convert to fraction form
    10,376.25/15,564.23 = 4,826.49/x
  3. Step 3: Cross multiply
    10,376.25x = 15,564.23 × 4,826.49
  4. Step 4: Simplify right side
    10,376.25x = 75,120,576.32
  5. Step 5: Solve for x
    x = 75,120,576.32/10,376.25
  6. Step 6: Final answer
    x = 7,239.67

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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.