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Finding the Fourth Proportional to 10,822.92, 14,935.92 and 6,347.04

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Solution

The fourth proportional to 10,822.92, 14,935.92 and 6,347.04 is: 8,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.92 : 14,935.92 = 6,347.04 : x
  2. Step 2: Convert to fraction form
    10,822.92/14,935.92 = 6,347.04/x
  3. Step 3: Cross multiply
    10,822.92x = 14,935.92 × 6,347.04
  4. Step 4: Simplify right side
    10,822.92x = 94,798,881.68
  5. Step 5: Solve for x
    x = 94,798,881.68/10,822.92
  6. Step 6: Final answer
    x = 8,759.09

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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.