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Finding the Fourth Proportional to 10,656.96, 14,709.24 and 6,468.72

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Solution

The fourth proportional to 10,656.96, 14,709.24 and 6,468.72 is: 8,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.96 : 14,709.24 = 6,468.72 : x
  2. Step 2: Convert to fraction form
    10,656.96/14,709.24 = 6,468.72/x
  3. Step 3: Cross multiply
    10,656.96x = 14,709.24 × 6,468.72
  4. Step 4: Simplify right side
    10,656.96x = 95,149,954.97
  5. Step 5: Solve for x
    x = 95,149,954.97/10,656.96
  6. Step 6: Final answer
    x = 8,928.43

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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.