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Finding the Fourth Proportional to 10,131.40, 15,195.58 and 3,205

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Solution

The fourth proportional to 10,131.40, 15,195.58 and 3,205 is: 4,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.40 : 15,195.58 = 3,205 : x
  2. Step 2: Convert to fraction form
    10,131.40/15,195.58 = 3,205/x
  3. Step 3: Cross multiply
    10,131.40x = 15,195.58 × 3,205
  4. Step 4: Simplify right side
    10,131.40x = 48,701,833.90
  5. Step 5: Solve for x
    x = 48,701,833.90/10,131.40
  6. Step 6: Final answer
    x = 4,807.02

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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.