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Finding the Fourth Proportional to 7,234.84, 10,852.39 and 2,554.74

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Solution

The fourth proportional to 7,234.84, 10,852.39 and 2,554.74 is: 3,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.84 : 10,852.39 = 2,554.74 : x
  2. Step 2: Convert to fraction form
    7,234.84/10,852.39 = 2,554.74/x
  3. Step 3: Cross multiply
    7,234.84x = 10,852.39 × 2,554.74
  4. Step 4: Simplify right side
    7,234.84x = 27,724,980.57
  5. Step 5: Solve for x
    x = 27,724,980.57/7,234.84
  6. Step 6: Final answer
    x = 3,832.15

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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.