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Finding the Fourth Proportional to 10,062.72, 13,892.64 and 7,820.37

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Solution

The fourth proportional to 10,062.72, 13,892.64 and 7,820.37 is: 10,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.72 : 13,892.64 = 7,820.37 : x
  2. Step 2: Convert to fraction form
    10,062.72/13,892.64 = 7,820.37/x
  3. Step 3: Cross multiply
    10,062.72x = 13,892.64 × 7,820.37
  4. Step 4: Simplify right side
    10,062.72x = 108,645,585.08
  5. Step 5: Solve for x
    x = 108,645,585.08/10,062.72
  6. Step 6: Final answer
    x = 10,796.84

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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.