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Finding the Fourth Proportional to 8,112.65, 11,202.28 and 5,133.74

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Solution

The fourth proportional to 8,112.65, 11,202.28 and 5,133.74 is: 7,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.65 : 11,202.28 = 5,133.74 : x
  2. Step 2: Convert to fraction form
    8,112.65/11,202.28 = 5,133.74/x
  3. Step 3: Cross multiply
    8,112.65x = 11,202.28 × 5,133.74
  4. Step 4: Simplify right side
    8,112.65x = 57,509,524.08
  5. Step 5: Solve for x
    x = 57,509,524.08/8,112.65
  6. Step 6: Final answer
    x = 7,088.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.