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Finding the Fourth Proportional to 10,221.66, 15,328.58 and 3,980.88

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Solution

The fourth proportional to 10,221.66, 15,328.58 and 3,980.88 is: 5,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.66 : 15,328.58 = 3,980.88 : x
  2. Step 2: Convert to fraction form
    10,221.66/15,328.58 = 3,980.88/x
  3. Step 3: Cross multiply
    10,221.66x = 15,328.58 × 3,980.88
  4. Step 4: Simplify right side
    10,221.66x = 61,021,217.65
  5. Step 5: Solve for x
    x = 61,021,217.65/10,221.66
  6. Step 6: Final answer
    x = 5,969.80

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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.