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Finding the Fourth Proportional to 10,225.65, 15,331.28 and 3,980.39

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Solution

The fourth proportional to 10,225.65, 15,331.28 and 3,980.39 is: 5,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.65 : 15,331.28 = 3,980.39 : x
  2. Step 2: Convert to fraction form
    10,225.65/15,331.28 = 3,980.39/x
  3. Step 3: Cross multiply
    10,225.65x = 15,331.28 × 3,980.39
  4. Step 4: Simplify right side
    10,225.65x = 61,024,473.60
  5. Step 5: Solve for x
    x = 61,024,473.60/10,225.65
  6. Step 6: Final answer
    x = 5,967.78

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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.