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Finding the Fourth Proportional to 12,715.50, 17,548.38 and 7,411.26

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Solution

The fourth proportional to 12,715.50, 17,548.38 and 7,411.26 is: 10,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.50 : 17,548.38 = 7,411.26 : x
  2. Step 2: Convert to fraction form
    12,715.50/17,548.38 = 7,411.26/x
  3. Step 3: Cross multiply
    12,715.50x = 17,548.38 × 7,411.26
  4. Step 4: Simplify right side
    12,715.50x = 130,055,606.76
  5. Step 5: Solve for x
    x = 130,055,606.76/12,715.50
  6. Step 6: Final answer
    x = 10,228.12

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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.