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Finding the Fourth Proportional to 10,225.56, 15,331.14 and 3,980.30

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Solution

The fourth proportional to 10,225.56, 15,331.14 and 3,980.30 is: 5,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.56 : 15,331.14 = 3,980.30 : x
  2. Step 2: Convert to fraction form
    10,225.56/15,331.14 = 3,980.30/x
  3. Step 3: Cross multiply
    10,225.56x = 15,331.14 × 3,980.30
  4. Step 4: Simplify right side
    10,225.56x = 61,022,459.89
  5. Step 5: Solve for x
    x = 61,022,459.89/10,225.56
  6. Step 6: Final answer
    x = 5,967.64

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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.