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Finding the Fourth Proportional to 5,816.71, 8,023.46 and 5,072.45

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Solution

The fourth proportional to 5,816.71, 8,023.46 and 5,072.45 is: 6,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.71 : 8,023.46 = 5,072.45 : x
  2. Step 2: Convert to fraction form
    5,816.71/8,023.46 = 5,072.45/x
  3. Step 3: Cross multiply
    5,816.71x = 8,023.46 × 5,072.45
  4. Step 4: Simplify right side
    5,816.71x = 40,698,574.31
  5. Step 5: Solve for x
    x = 40,698,574.31/5,816.71
  6. Step 6: Final answer
    x = 6,996.84

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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.