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Finding the Fourth Proportional to 7,497.54, 11,233.99 and 2,564.49

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Solution

The fourth proportional to 7,497.54, 11,233.99 and 2,564.49 is: 3,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.54 : 11,233.99 = 2,564.49 : x
  2. Step 2: Convert to fraction form
    7,497.54/11,233.99 = 2,564.49/x
  3. Step 3: Cross multiply
    7,497.54x = 11,233.99 × 2,564.49
  4. Step 4: Simplify right side
    7,497.54x = 28,809,405.56
  5. Step 5: Solve for x
    x = 28,809,405.56/7,497.54
  6. Step 6: Final answer
    x = 3,842.52

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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.