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Finding the Fourth Proportional to 10,237.50, 14,127.75 and 5,821.50

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Solution

The fourth proportional to 10,237.50, 14,127.75 and 5,821.50 is: 8,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.50 : 14,127.75 = 5,821.50 : x
  2. Step 2: Convert to fraction form
    10,237.50/14,127.75 = 5,821.50/x
  3. Step 3: Cross multiply
    10,237.50x = 14,127.75 × 5,821.50
  4. Step 4: Simplify right side
    10,237.50x = 82,244,696.63
  5. Step 5: Solve for x
    x = 82,244,696.63/10,237.50
  6. Step 6: Final answer
    x = 8,033.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.