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Finding the Fourth Proportional to 11,437.64, 15,784.06 and 6,722

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Solution

The fourth proportional to 11,437.64, 15,784.06 and 6,722 is: 9,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.64 : 15,784.06 = 6,722 : x
  2. Step 2: Convert to fraction form
    11,437.64/15,784.06 = 6,722/x
  3. Step 3: Cross multiply
    11,437.64x = 15,784.06 × 6,722
  4. Step 4: Simplify right side
    11,437.64x = 106,100,451.32
  5. Step 5: Solve for x
    x = 106,100,451.32/11,437.64
  6. Step 6: Final answer
    x = 9,276.43

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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.