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Finding the Fourth Proportional to 8,824.39, 12,178.11 and 5,469.01

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Solution

The fourth proportional to 8,824.39, 12,178.11 and 5,469.01 is: 7,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.39 : 12,178.11 = 5,469.01 : x
  2. Step 2: Convert to fraction form
    8,824.39/12,178.11 = 5,469.01/x
  3. Step 3: Cross multiply
    8,824.39x = 12,178.11 × 5,469.01
  4. Step 4: Simplify right side
    8,824.39x = 66,602,205.37
  5. Step 5: Solve for x
    x = 66,602,205.37/8,824.39
  6. Step 6: Final answer
    x = 7,547.51

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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.