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Finding the Fourth Proportional to 8,341.96, 11,505.49 and 5,823.27

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Solution

The fourth proportional to 8,341.96, 11,505.49 and 5,823.27 is: 8,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.96 : 11,505.49 = 5,823.27 : x
  2. Step 2: Convert to fraction form
    8,341.96/11,505.49 = 5,823.27/x
  3. Step 3: Cross multiply
    8,341.96x = 11,505.49 × 5,823.27
  4. Step 4: Simplify right side
    8,341.96x = 66,999,574.75
  5. Step 5: Solve for x
    x = 66,999,574.75/8,341.96
  6. Step 6: Final answer
    x = 8,031.63

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1.5x scale

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.