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Finding the Fourth Proportional to 8,089.07, 12,076.63 and 6,919.49

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Solution

The fourth proportional to 8,089.07, 12,076.63 and 6,919.49 is: 10,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.07 : 12,076.63 = 6,919.49 : x
  2. Step 2: Convert to fraction form
    8,089.07/12,076.63 = 6,919.49/x
  3. Step 3: Cross multiply
    8,089.07x = 12,076.63 × 6,919.49
  4. Step 4: Simplify right side
    8,089.07x = 83,564,133.41
  5. Step 5: Solve for x
    x = 83,564,133.41/8,089.07
  6. Step 6: Final answer
    x = 10,330.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.