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Finding the Fourth Proportional to 10,366, 15,548.94 and 3,792.64

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Solution

The fourth proportional to 10,366, 15,548.94 and 3,792.64 is: 5,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 15,548.94 = 3,792.64 : x
  2. Step 2: Convert to fraction form
    10,366/15,548.94 = 3,792.64/x
  3. Step 3: Cross multiply
    10,366x = 15,548.94 × 3,792.64
  4. Step 4: Simplify right side
    10,366x = 58,971,531.80
  5. Step 5: Solve for x
    x = 58,971,531.80/10,366
  6. Step 6: Final answer
    x = 5,688.94

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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.