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Finding the Fourth Proportional to 10,466.63, 14,443.95 and 5,751.21

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Solution

The fourth proportional to 10,466.63, 14,443.95 and 5,751.21 is: 7,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.63 : 14,443.95 = 5,751.21 : x
  2. Step 2: Convert to fraction form
    10,466.63/14,443.95 = 5,751.21/x
  3. Step 3: Cross multiply
    10,466.63x = 14,443.95 × 5,751.21
  4. Step 4: Simplify right side
    10,466.63x = 83,070,189.68
  5. Step 5: Solve for x
    x = 83,070,189.68/10,466.63
  6. Step 6: Final answer
    x = 7,936.67

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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.