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Finding the Fourth Proportional to 11,457.80, 17,186.70 and 8,865.80

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Solution

The fourth proportional to 11,457.80, 17,186.70 and 8,865.80 is: 13,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.80 : 17,186.70 = 8,865.80 : x
  2. Step 2: Convert to fraction form
    11,457.80/17,186.70 = 8,865.80/x
  3. Step 3: Cross multiply
    11,457.80x = 17,186.70 × 8,865.80
  4. Step 4: Simplify right side
    11,457.80x = 152,373,844.86
  5. Step 5: Solve for x
    x = 152,373,844.86/11,457.80
  6. Step 6: Final answer
    x = 13,298.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.