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Finding the Fourth Proportional to 10,507.56, 15,727.32 and 7,733.64

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Solution

The fourth proportional to 10,507.56, 15,727.32 and 7,733.64 is: 11,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.56 : 15,727.32 = 7,733.64 : x
  2. Step 2: Convert to fraction form
    10,507.56/15,727.32 = 7,733.64/x
  3. Step 3: Cross multiply
    10,507.56x = 15,727.32 × 7,733.64
  4. Step 4: Simplify right side
    10,507.56x = 121,629,431.04
  5. Step 5: Solve for x
    x = 121,629,431.04/10,507.56
  6. Step 6: Final answer
    x = 11,575.42

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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.