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Finding the Fourth Proportional to 10,219.20, 15,328.80 and 7,627.20

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Solution

The fourth proportional to 10,219.20, 15,328.80 and 7,627.20 is: 11,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.20 : 15,328.80 = 7,627.20 : x
  2. Step 2: Convert to fraction form
    10,219.20/15,328.80 = 7,627.20/x
  3. Step 3: Cross multiply
    10,219.20x = 15,328.80 × 7,627.20
  4. Step 4: Simplify right side
    10,219.20x = 116,915,823.36
  5. Step 5: Solve for x
    x = 116,915,823.36/10,219.20
  6. Step 6: Final answer
    x = 11,440.80

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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.