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Finding the Fourth Proportional to 7,388, 11,084.76 and 3,006.56

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Solution

The fourth proportional to 7,388, 11,084.76 and 3,006.56 is: 4,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 11,084.76 = 3,006.56 : x
  2. Step 2: Convert to fraction form
    7,388/11,084.76 = 3,006.56/x
  3. Step 3: Cross multiply
    7,388x = 11,084.76 × 3,006.56
  4. Step 4: Simplify right side
    7,388x = 33,326,996.03
  5. Step 5: Solve for x
    x = 33,326,996.03/7,388
  6. Step 6: Final answer
    x = 4,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.