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Finding the Fourth Proportional to 10,346.56, 15,512.16 and 9,304

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Solution

The fourth proportional to 10,346.56, 15,512.16 and 9,304 is: 13,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.56 : 15,512.16 = 9,304 : x
  2. Step 2: Convert to fraction form
    10,346.56/15,512.16 = 9,304/x
  3. Step 3: Cross multiply
    10,346.56x = 15,512.16 × 9,304
  4. Step 4: Simplify right side
    10,346.56x = 144,325,136.64
  5. Step 5: Solve for x
    x = 144,325,136.64/10,346.56
  6. Step 6: Final answer
    x = 13,949.09

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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.