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Finding the Fourth Proportional to 10,624.84, 15,935.50 and 3,228.06

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Solution

The fourth proportional to 10,624.84, 15,935.50 and 3,228.06 is: 4,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.84 : 15,935.50 = 3,228.06 : x
  2. Step 2: Convert to fraction form
    10,624.84/15,935.50 = 3,228.06/x
  3. Step 3: Cross multiply
    10,624.84x = 15,935.50 × 3,228.06
  4. Step 4: Simplify right side
    10,624.84x = 51,440,750.13
  5. Step 5: Solve for x
    x = 51,440,750.13/10,624.84
  6. Step 6: Final answer
    x = 4,841.56

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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.