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Finding the Fourth Proportional to 12,709.46, 17,541.15 and 7,407.38

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Solution

The fourth proportional to 12,709.46, 17,541.15 and 7,407.38 is: 10,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.46 : 17,541.15 = 7,407.38 : x
  2. Step 2: Convert to fraction form
    12,709.46/17,541.15 = 7,407.38/x
  3. Step 3: Cross multiply
    12,709.46x = 17,541.15 × 7,407.38
  4. Step 4: Simplify right side
    12,709.46x = 129,933,963.69
  5. Step 5: Solve for x
    x = 129,933,963.69/12,709.46
  6. Step 6: Final answer
    x = 10,223.41

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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.