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Finding the Fourth Proportional to 12,964.56, 17,890.02 and 7,299.06

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Solution

The fourth proportional to 12,964.56, 17,890.02 and 7,299.06 is: 10,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.56 : 17,890.02 = 7,299.06 : x
  2. Step 2: Convert to fraction form
    12,964.56/17,890.02 = 7,299.06/x
  3. Step 3: Cross multiply
    12,964.56x = 17,890.02 × 7,299.06
  4. Step 4: Simplify right side
    12,964.56x = 130,580,329.38
  5. Step 5: Solve for x
    x = 130,580,329.38/12,964.56
  6. Step 6: Final answer
    x = 10,072.10

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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.