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Finding the Fourth Proportional to 10,799.84, 14,903.92 and 6,322.56

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Solution

The fourth proportional to 10,799.84, 14,903.92 and 6,322.56 is: 8,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.84 : 14,903.92 = 6,322.56 : x
  2. Step 2: Convert to fraction form
    10,799.84/14,903.92 = 6,322.56/x
  3. Step 3: Cross multiply
    10,799.84x = 14,903.92 × 6,322.56
  4. Step 4: Simplify right side
    10,799.84x = 94,230,928.44
  5. Step 5: Solve for x
    x = 94,230,928.44/10,799.84
  6. Step 6: Final answer
    x = 8,725.22

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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.