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Finding the Fourth Proportional to 8,823.44, 12,173.82 and 5,465.18

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Solution

The fourth proportional to 8,823.44, 12,173.82 and 5,465.18 is: 7,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.44 : 12,173.82 = 5,465.18 : x
  2. Step 2: Convert to fraction form
    8,823.44/12,173.82 = 5,465.18/x
  3. Step 3: Cross multiply
    8,823.44x = 12,173.82 × 5,465.18
  4. Step 4: Simplify right side
    8,823.44x = 66,532,117.59
  5. Step 5: Solve for x
    x = 66,532,117.59/8,823.44
  6. Step 6: Final answer
    x = 7,540.38

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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.