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Finding the Fourth Proportional to 7,700.37, 10,631.71 and 5,052.27

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Solution

The fourth proportional to 7,700.37, 10,631.71 and 5,052.27 is: 6,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.37 : 10,631.71 = 5,052.27 : x
  2. Step 2: Convert to fraction form
    7,700.37/10,631.71 = 5,052.27/x
  3. Step 3: Cross multiply
    7,700.37x = 10,631.71 × 5,052.27
  4. Step 4: Simplify right side
    7,700.37x = 53,714,287.25
  5. Step 5: Solve for x
    x = 53,714,287.25/7,700.37
  6. Step 6: Final answer
    x = 6,975.55

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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.