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Finding the Fourth Proportional to 10,352.56, 14,286.08 and 5,636.84

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Solution

The fourth proportional to 10,352.56, 14,286.08 and 5,636.84 is: 7,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.56 : 14,286.08 = 5,636.84 : x
  2. Step 2: Convert to fraction form
    10,352.56/14,286.08 = 5,636.84/x
  3. Step 3: Cross multiply
    10,352.56x = 14,286.08 × 5,636.84
  4. Step 4: Simplify right side
    10,352.56x = 80,528,347.19
  5. Step 5: Solve for x
    x = 80,528,347.19/10,352.56
  6. Step 6: Final answer
    x = 7,778.59

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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.