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Finding the Fourth Proportional to 8,823.36, 12,176.34 and 4,844.40

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Solution

The fourth proportional to 8,823.36, 12,176.34 and 4,844.40 is: 6,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.36 : 12,176.34 = 4,844.40 : x
  2. Step 2: Convert to fraction form
    8,823.36/12,176.34 = 4,844.40/x
  3. Step 3: Cross multiply
    8,823.36x = 12,176.34 × 4,844.40
  4. Step 4: Simplify right side
    8,823.36x = 58,987,061.50
  5. Step 5: Solve for x
    x = 58,987,061.50/8,823.36
  6. Step 6: Final answer
    x = 6,685.33

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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.