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Finding the Fourth Proportional to 7,584, 10,467.36 and 4,272

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Solution

The fourth proportional to 7,584, 10,467.36 and 4,272 is: 5,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 10,467.36 = 4,272 : x
  2. Step 2: Convert to fraction form
    7,584/10,467.36 = 4,272/x
  3. Step 3: Cross multiply
    7,584x = 10,467.36 × 4,272
  4. Step 4: Simplify right side
    7,584x = 44,716,561.92
  5. Step 5: Solve for x
    x = 44,716,561.92/7,584
  6. Step 6: Final answer
    x = 5,896.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.