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Finding the Fourth Proportional to 10,205.84, 15,312.17 and 3,966.06

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Solution

The fourth proportional to 10,205.84, 15,312.17 and 3,966.06 is: 5,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.84 : 15,312.17 = 3,966.06 : x
  2. Step 2: Convert to fraction form
    10,205.84/15,312.17 = 3,966.06/x
  3. Step 3: Cross multiply
    10,205.84x = 15,312.17 × 3,966.06
  4. Step 4: Simplify right side
    10,205.84x = 60,728,908.39
  5. Step 5: Solve for x
    x = 60,728,908.39/10,205.84
  6. Step 6: Final answer
    x = 5,950.41

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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.