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Finding the Fourth Proportional to 7,807.27, 11,710.84 and 3,187.03

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Solution

The fourth proportional to 7,807.27, 11,710.84 and 3,187.03 is: 4,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.27 : 11,710.84 = 3,187.03 : x
  2. Step 2: Convert to fraction form
    7,807.27/11,710.84 = 3,187.03/x
  3. Step 3: Cross multiply
    7,807.27x = 11,710.84 × 3,187.03
  4. Step 4: Simplify right side
    7,807.27x = 37,322,798.41
  5. Step 5: Solve for x
    x = 37,322,798.41/7,807.27
  6. Step 6: Final answer
    x = 4,780.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.