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Finding the Fourth Proportional to 11,457.87, 15,793.29 and 8,095.29

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Solution

The fourth proportional to 11,457.87, 15,793.29 and 8,095.29 is: 11,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.87 : 15,793.29 = 8,095.29 : x
  2. Step 2: Convert to fraction form
    11,457.87/15,793.29 = 8,095.29/x
  3. Step 3: Cross multiply
    11,457.87x = 15,793.29 × 8,095.29
  4. Step 4: Simplify right side
    11,457.87x = 127,851,262.60
  5. Step 5: Solve for x
    x = 127,851,262.60/11,457.87
  6. Step 6: Final answer
    x = 11,158.38

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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.