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Finding the Fourth Proportional to 10,225.92, 15,329.80 and 3,984.49

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Solution

The fourth proportional to 10,225.92, 15,329.80 and 3,984.49 is: 5,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.92 : 15,329.80 = 3,984.49 : x
  2. Step 2: Convert to fraction form
    10,225.92/15,329.80 = 3,984.49/x
  3. Step 3: Cross multiply
    10,225.92x = 15,329.80 × 3,984.49
  4. Step 4: Simplify right side
    10,225.92x = 61,081,434.80
  5. Step 5: Solve for x
    x = 61,081,434.80/10,225.92
  6. Step 6: Final answer
    x = 5,973.20

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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.