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Finding the Fourth Proportional to 10,505.08, 14,497.14 and 6,961.96

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Solution

The fourth proportional to 10,505.08, 14,497.14 and 6,961.96 is: 9,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.08 : 14,497.14 = 6,961.96 : x
  2. Step 2: Convert to fraction form
    10,505.08/14,497.14 = 6,961.96/x
  3. Step 3: Cross multiply
    10,505.08x = 14,497.14 × 6,961.96
  4. Step 4: Simplify right side
    10,505.08x = 100,928,508.79
  5. Step 5: Solve for x
    x = 100,928,508.79/10,505.08
  6. Step 6: Final answer
    x = 9,607.59

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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.