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Finding the Fourth Proportional to 12,606.38, 17,396.80 and 7,302.90

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Solution

The fourth proportional to 12,606.38, 17,396.80 and 7,302.90 is: 10,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.38 : 17,396.80 = 7,302.90 : x
  2. Step 2: Convert to fraction form
    12,606.38/17,396.80 = 7,302.90/x
  3. Step 3: Cross multiply
    12,606.38x = 17,396.80 × 7,302.90
  4. Step 4: Simplify right side
    12,606.38x = 127,047,072.46
  5. Step 5: Solve for x
    x = 127,047,072.46/12,606.38
  6. Step 6: Final answer
    x = 10,078.00

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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.