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Finding the Fourth Proportional to 10,155, 15,228.42 and 3,133.44

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Solution

The fourth proportional to 10,155, 15,228.42 and 3,133.44 is: 4,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155 : 15,228.42 = 3,133.44 : x
  2. Step 2: Convert to fraction form
    10,155/15,228.42 = 3,133.44/x
  3. Step 3: Cross multiply
    10,155x = 15,228.42 × 3,133.44
  4. Step 4: Simplify right side
    10,155x = 47,717,340.36
  5. Step 5: Solve for x
    x = 47,717,340.36/10,155
  6. Step 6: Final answer
    x = 4,698.90

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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.