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Finding the Fourth Proportional to 10,027.20, 15,043.20 and 5,097.60

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Solution

The fourth proportional to 10,027.20, 15,043.20 and 5,097.60 is: 7,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.20 : 15,043.20 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    10,027.20/15,043.20 = 5,097.60/x
  3. Step 3: Cross multiply
    10,027.20x = 15,043.20 × 5,097.60
  4. Step 4: Simplify right side
    10,027.20x = 76,684,216.32
  5. Step 5: Solve for x
    x = 76,684,216.32/10,027.20
  6. Step 6: Final answer
    x = 7,647.62

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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.