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Finding the Fourth Proportional to 12,457.72, 17,190.90 and 7,152.04

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Solution

The fourth proportional to 12,457.72, 17,190.90 and 7,152.04 is: 9,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.72 : 17,190.90 = 7,152.04 : x
  2. Step 2: Convert to fraction form
    12,457.72/17,190.90 = 7,152.04/x
  3. Step 3: Cross multiply
    12,457.72x = 17,190.90 × 7,152.04
  4. Step 4: Simplify right side
    12,457.72x = 122,950,004.44
  5. Step 5: Solve for x
    x = 122,950,004.44/12,457.72
  6. Step 6: Final answer
    x = 9,869.38

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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.