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Finding the Fourth Proportional to 10,145.84, 15,253.02 and 8,195.56

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Solution

The fourth proportional to 10,145.84, 15,253.02 and 8,195.56 is: 12,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.84 : 15,253.02 = 8,195.56 : x
  2. Step 2: Convert to fraction form
    10,145.84/15,253.02 = 8,195.56/x
  3. Step 3: Cross multiply
    10,145.84x = 15,253.02 × 8,195.56
  4. Step 4: Simplify right side
    10,145.84x = 125,007,002.46
  5. Step 5: Solve for x
    x = 125,007,002.46/10,145.84
  6. Step 6: Final answer
    x = 12,321.02

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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.