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Finding the Fourth Proportional to 10,289.60, 15,427.20 and 4,047.20

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Solution

The fourth proportional to 10,289.60, 15,427.20 and 4,047.20 is: 6,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.60 : 15,427.20 = 4,047.20 : x
  2. Step 2: Convert to fraction form
    10,289.60/15,427.20 = 4,047.20/x
  3. Step 3: Cross multiply
    10,289.60x = 15,427.20 × 4,047.20
  4. Step 4: Simplify right side
    10,289.60x = 62,436,963.84
  5. Step 5: Solve for x
    x = 62,436,963.84/10,289.60
  6. Step 6: Final answer
    x = 6,067.97

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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.