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Finding the Fourth Proportional to 10,710.82, 16,062.18 and 5,162.32

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Solution

The fourth proportional to 10,710.82, 16,062.18 and 5,162.32 is: 7,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.82 : 16,062.18 = 5,162.32 : x
  2. Step 2: Convert to fraction form
    10,710.82/16,062.18 = 5,162.32/x
  3. Step 3: Cross multiply
    10,710.82x = 16,062.18 × 5,162.32
  4. Step 4: Simplify right side
    10,710.82x = 82,918,113.06
  5. Step 5: Solve for x
    x = 82,918,113.06/10,710.82
  6. Step 6: Final answer
    x = 7,741.53

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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.