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Finding the Fourth Proportional to 10,346.68, 14,277.96 and 5,630.96

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Solution

The fourth proportional to 10,346.68, 14,277.96 and 5,630.96 is: 7,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.68 : 14,277.96 = 5,630.96 : x
  2. Step 2: Convert to fraction form
    10,346.68/14,277.96 = 5,630.96/x
  3. Step 3: Cross multiply
    10,346.68x = 14,277.96 × 5,630.96
  4. Step 4: Simplify right side
    10,346.68x = 80,398,621.64
  5. Step 5: Solve for x
    x = 80,398,621.64/10,346.68
  6. Step 6: Final answer
    x = 7,770.48

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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.