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Finding the Fourth Proportional to 12,262.16, 16,922.24 and 6,958

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Solution

The fourth proportional to 12,262.16, 16,922.24 and 6,958 is: 9,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.16 : 16,922.24 = 6,958 : x
  2. Step 2: Convert to fraction form
    12,262.16/16,922.24 = 6,958/x
  3. Step 3: Cross multiply
    12,262.16x = 16,922.24 × 6,958
  4. Step 4: Simplify right side
    12,262.16x = 117,744,945.92
  5. Step 5: Solve for x
    x = 117,744,945.92/12,262.16
  6. Step 6: Final answer
    x = 9,602.30

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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.