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Finding the Fourth Proportional to 7,427.16, 10,251 and 4,282.92

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Solution

The fourth proportional to 7,427.16, 10,251 and 4,282.92 is: 5,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.16 : 10,251 = 4,282.92 : x
  2. Step 2: Convert to fraction form
    7,427.16/10,251 = 4,282.92/x
  3. Step 3: Cross multiply
    7,427.16x = 10,251 × 4,282.92
  4. Step 4: Simplify right side
    7,427.16x = 43,904,212.92
  5. Step 5: Solve for x
    x = 43,904,212.92/7,427.16
  6. Step 6: Final answer
    x = 5,911.31

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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.