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Finding the Fourth Proportional to 12,665.28, 17,475.12 and 7,628.16

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Solution

The fourth proportional to 12,665.28, 17,475.12 and 7,628.16 is: 10,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.28 : 17,475.12 = 7,628.16 : x
  2. Step 2: Convert to fraction form
    12,665.28/17,475.12 = 7,628.16/x
  3. Step 3: Cross multiply
    12,665.28x = 17,475.12 × 7,628.16
  4. Step 4: Simplify right side
    12,665.28x = 133,303,011.38
  5. Step 5: Solve for x
    x = 133,303,011.38/12,665.28
  6. Step 6: Final answer
    x = 10,525.07

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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.